(5t-1)(4t+2)=(10t-1)(2t+3)-2(t+13)

Simple and best practice solution for (5t-1)(4t+2)=(10t-1)(2t+3)-2(t+13) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5t-1)(4t+2)=(10t-1)(2t+3)-2(t+13) equation: 


Simplifying
(5t + -1)(4t + 2) = (10t + -1)(2t + 3) + -2(t + 13)

Reorder the terms:
(-1 + 5t)(4t + 2) = (10t + -1)(2t + 3) + -2(t + 13)

Reorder the terms:
(-1 + 5t)(2 + 4t) = (10t + -1)(2t + 3) + -2(t + 13)

Multiply (-1 + 5t) * (2 + 4t)
(-1(2 + 4t) + 5t * (2 + 4t)) = (10t + -1)(2t + 3) + -2(t + 13)
((2 * -1 + 4t * -1) + 5t * (2 + 4t)) = (10t + -1)(2t + 3) + -2(t + 13)
((-2 + -4t) + 5t * (2 + 4t)) = (10t + -1)(2t + 3) + -2(t + 13)
(-2 + -4t + (2 * 5t + 4t * 5t)) = (10t + -1)(2t + 3) + -2(t + 13)
(-2 + -4t + (10t + 20t2)) = (10t + -1)(2t + 3) + -2(t + 13)

Combine like terms: -4t + 10t = 6t
(-2 + 6t + 20t2) = (10t + -1)(2t + 3) + -2(t + 13)

Reorder the terms:
-2 + 6t + 20t2 = (-1 + 10t)(2t + 3) + -2(t + 13)

Reorder the terms:
-2 + 6t + 20t2 = (-1 + 10t)(3 + 2t) + -2(t + 13)

Multiply (-1 + 10t) * (3 + 2t)
-2 + 6t + 20t2 = (-1(3 + 2t) + 10t * (3 + 2t)) + -2(t + 13)
-2 + 6t + 20t2 = ((3 * -1 + 2t * -1) + 10t * (3 + 2t)) + -2(t + 13)
-2 + 6t + 20t2 = ((-3 + -2t) + 10t * (3 + 2t)) + -2(t + 13)
-2 + 6t + 20t2 = (-3 + -2t + (3 * 10t + 2t * 10t)) + -2(t + 13)
-2 + 6t + 20t2 = (-3 + -2t + (30t + 20t2)) + -2(t + 13)

Combine like terms: -2t + 30t = 28t
-2 + 6t + 20t2 = (-3 + 28t + 20t2) + -2(t + 13)

Reorder the terms:
-2 + 6t + 20t2 = -3 + 28t + 20t2 + -2(13 + t)
-2 + 6t + 20t2 = -3 + 28t + 20t2 + (13 * -2 + t * -2)
-2 + 6t + 20t2 = -3 + 28t + 20t2 + (-26 + -2t)

Reorder the terms:
-2 + 6t + 20t2 = -3 + -26 + 28t + -2t + 20t2

Combine like terms: -3 + -26 = -29
-2 + 6t + 20t2 = -29 + 28t + -2t + 20t2

Combine like terms: 28t + -2t = 26t
-2 + 6t + 20t2 = -29 + 26t + 20t2

Add '-20t2' to each side of the equation.
-2 + 6t + 20t2 + -20t2 = -29 + 26t + 20t2 + -20t2

Combine like terms: 20t2 + -20t2 = 0
-2 + 6t + 0 = -29 + 26t + 20t2 + -20t2
-2 + 6t = -29 + 26t + 20t2 + -20t2

Combine like terms: 20t2 + -20t2 = 0
-2 + 6t = -29 + 26t + 0
-2 + 6t = -29 + 26t

Solving
-2 + 6t = -29 + 26t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-26t' to each side of the equation.
-2 + 6t + -26t = -29 + 26t + -26t

Combine like terms: 6t + -26t = -20t
-2 + -20t = -29 + 26t + -26t

Combine like terms: 26t + -26t = 0
-2 + -20t = -29 + 0
-2 + -20t = -29

Add '2' to each side of the equation.
-2 + 2 + -20t = -29 + 2

Combine like terms: -2 + 2 = 0
0 + -20t = -29 + 2
-20t = -29 + 2

Combine like terms: -29 + 2 = -27
-20t = -27

Divide each side by '-20'.
t = 1.35

Simplifying
t = 1.35

See similar equations:

| p^2=-10 | | 2x-4y-5y+10x+8= | | X-107=8x+33 | | 2h+3=6-(2h-3) | | 4b-5=-2 | | 6x+5=6x-4 | | t^2-4t-7=0 | | -42=-10-8v | | 6(x+5)+7(3-2x)+6=0 | | -6x-166=94+4x | | 2x-10-6+9x=6 | | 4(y+2)=-2 | | 5+4y-7=4y-2y | | 4x-54=-2x | | 6x+35=y+88 | | 0=8x^2+37x-15 | | 3-2(4-x)=11+6 | | -30+11x=27+8x | | -6y+5x=-3 | | -2(-7)-3= | | 8x-23=3y | | z^6-7z^3-8=0 | | 9-6x+8=18 | | 6x+7(x+9)=167 | | 2x-(1+9x)=29 | | 3x^2-2y^2+4x-6y-7=0 | | 10x+15+3x-8=163 | | 10x-33=5x+42 | | 3(1-3m)=2(-4m+7) | | 4x+x=25000 | | f(x)-x=12 | | .7x+.5=.4x |

Equations solver categories