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

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


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

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

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

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

Combine like terms: -2 + 15 = 13
13 + 2t + -6t = 3 + -5(4t + 1)

Combine like terms: 2t + -6t = -4t
13 + -4t = 3 + -5(4t + 1)

Reorder the terms:
13 + -4t = 3 + -5(1 + 4t)
13 + -4t = 3 + (1 * -5 + 4t * -5)
13 + -4t = 3 + (-5 + -20t)

Combine like terms: 3 + -5 = -2
13 + -4t = -2 + -20t

Solving
13 + -4t = -2 + -20t

Solving for variable 't'.

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

Add '20t' to each side of the equation.
13 + -4t + 20t = -2 + -20t + 20t

Combine like terms: -4t + 20t = 16t
13 + 16t = -2 + -20t + 20t

Combine like terms: -20t + 20t = 0
13 + 16t = -2 + 0
13 + 16t = -2

Add '-13' to each side of the equation.
13 + -13 + 16t = -2 + -13

Combine like terms: 13 + -13 = 0
0 + 16t = -2 + -13
16t = -2 + -13

Combine like terms: -2 + -13 = -15
16t = -15

Divide each side by '16'.
t = -0.9375

Simplifying
t = -0.9375

See similar equations:

| -17=9y | | 2X+10+3x-50=180 | | 3=z+17 | | 2(x-4)=7x-7-5x | | -v/2=43 | | 0.3x= | | -43=-v/5 | | 9.3*10*10*10*10*10*10*10= | | 6x+12-2=5x+15 | | 2u-13=23 | | 1.4*10*10*10*10*10*10*10*10= | | 3x+10+110=180 | | (13x+2x-4)+(-x-x+1)+(-3x+5x+7)= | | -26v=-7 | | 8(64b^2)=5 | | -21w=-4 | | 10000-270t= | | 14y-10=x+1 | | .0005x+.0045=.0045x | | -4=-21w | | 0.08r+7400= | | 2(-7)+4y=14 | | ((X^2-36)/(6x-6))/((x^2+12x+36)/(x^2+5x-6)) | | 3*70-60=440 | | -1-h=-10 | | -4=21w | | 440=2(3w-60)+2w | | -3/4n+3n=3/2n+11/3 | | (3x-2)/7=(4x-1)/5 | | 8x^2-91x-294=0 | | X^2-36/6x-6 | | 200=200+90t+80t |

Equations solver categories