2(t-1)-5(3t-4)=6-7(4t+1)

Simple and best practice solution for 2(t-1)-5(3t-4)=6-7(4t+1) 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 2(t-1)-5(3t-4)=6-7(4t+1) equation:


Simplifying
2(t + -1) + -5(3t + -4) = 6 + -7(4t + 1)

Reorder the terms:
2(-1 + t) + -5(3t + -4) = 6 + -7(4t + 1)
(-1 * 2 + t * 2) + -5(3t + -4) = 6 + -7(4t + 1)
(-2 + 2t) + -5(3t + -4) = 6 + -7(4t + 1)

Reorder the terms:
-2 + 2t + -5(-4 + 3t) = 6 + -7(4t + 1)
-2 + 2t + (-4 * -5 + 3t * -5) = 6 + -7(4t + 1)
-2 + 2t + (20 + -15t) = 6 + -7(4t + 1)

Reorder the terms:
-2 + 20 + 2t + -15t = 6 + -7(4t + 1)

Combine like terms: -2 + 20 = 18
18 + 2t + -15t = 6 + -7(4t + 1)

Combine like terms: 2t + -15t = -13t
18 + -13t = 6 + -7(4t + 1)

Reorder the terms:
18 + -13t = 6 + -7(1 + 4t)
18 + -13t = 6 + (1 * -7 + 4t * -7)
18 + -13t = 6 + (-7 + -28t)

Combine like terms: 6 + -7 = -1
18 + -13t = -1 + -28t

Solving
18 + -13t = -1 + -28t

Solving for variable 't'.

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

Add '28t' to each side of the equation.
18 + -13t + 28t = -1 + -28t + 28t

Combine like terms: -13t + 28t = 15t
18 + 15t = -1 + -28t + 28t

Combine like terms: -28t + 28t = 0
18 + 15t = -1 + 0
18 + 15t = -1

Add '-18' to each side of the equation.
18 + -18 + 15t = -1 + -18

Combine like terms: 18 + -18 = 0
0 + 15t = -1 + -18
15t = -1 + -18

Combine like terms: -1 + -18 = -19
15t = -19

Divide each side by '15'.
t = -1.266666667

Simplifying
t = -1.266666667

See similar equations:

| 12(x)-4(x-5)=8(x)+4 | | x=x-4 | | 12(2)-4(2-5)=8(2)+4 | | b^2=10b-16 | | 12(-2)-4(-2-5)=8(-2)+4 | | 18x^2=0.8y | | 3c^2=9c | | 12(-2)-4(2-5)=8(2)+4 | | 4500+162x=18(9x+250) | | 1.2q-3.7-2.6q=-2.4q-3.7 | | 0.016c+0.025=0.8 | | a^2-18a=-72 | | 25-1050p=75(0.333333333333333-2p) | | x^3+7x^2-36=0 | | 15t=-6 | | (x*x)+18x=175 | | 3y+32=4(2y+3) | | 11x+9-5=-10x-3 | | 2(t-2)-5(3t-4)=6-7(4t+1) | | x^2+2x-9=0 | | -3y-12=2y+13 | | x^2=24-10x | | -(5y+1)-(-4y-6)=3 | | 15z^4-14z^2+3=0 | | r-(17.5-19r)t=8t^2 | | 12x-4(x-5)=8x+4 | | 8(3x-9)=2(12x+1) | | -3y+2=-4x+3 | | 3b+2b-6=9 | | 1-3z=-11 | | 5m+12n=-1 | | 2.4x+11.8=7.2x-26.4 |

Equations solver categories