5(t+2)+2(t-1)=-2(t-1)+10(t+2)

Simple and best practice solution for 5(t+2)+2(t-1)=-2(t-1)+10(t+2) 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 5(t+2)+2(t-1)=-2(t-1)+10(t+2) equation:


Simplifying
5(t + 2) + 2(t + -1) = -2(t + -1) + 10(t + 2)

Reorder the terms:
5(2 + t) + 2(t + -1) = -2(t + -1) + 10(t + 2)
(2 * 5 + t * 5) + 2(t + -1) = -2(t + -1) + 10(t + 2)
(10 + 5t) + 2(t + -1) = -2(t + -1) + 10(t + 2)

Reorder the terms:
10 + 5t + 2(-1 + t) = -2(t + -1) + 10(t + 2)
10 + 5t + (-1 * 2 + t * 2) = -2(t + -1) + 10(t + 2)
10 + 5t + (-2 + 2t) = -2(t + -1) + 10(t + 2)

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

Combine like terms: 10 + -2 = 8
8 + 5t + 2t = -2(t + -1) + 10(t + 2)

Combine like terms: 5t + 2t = 7t
8 + 7t = -2(t + -1) + 10(t + 2)

Reorder the terms:
8 + 7t = -2(-1 + t) + 10(t + 2)
8 + 7t = (-1 * -2 + t * -2) + 10(t + 2)
8 + 7t = (2 + -2t) + 10(t + 2)

Reorder the terms:
8 + 7t = 2 + -2t + 10(2 + t)
8 + 7t = 2 + -2t + (2 * 10 + t * 10)
8 + 7t = 2 + -2t + (20 + 10t)

Reorder the terms:
8 + 7t = 2 + 20 + -2t + 10t

Combine like terms: 2 + 20 = 22
8 + 7t = 22 + -2t + 10t

Combine like terms: -2t + 10t = 8t
8 + 7t = 22 + 8t

Solving
8 + 7t = 22 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
8 + 7t + -8t = 22 + 8t + -8t

Combine like terms: 7t + -8t = -1t
8 + -1t = 22 + 8t + -8t

Combine like terms: 8t + -8t = 0
8 + -1t = 22 + 0
8 + -1t = 22

Add '-8' to each side of the equation.
8 + -8 + -1t = 22 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 22 + -8
-1t = 22 + -8

Combine like terms: 22 + -8 = 14
-1t = 14

Divide each side by '-1'.
t = -14

Simplifying
t = -14

See similar equations:

| 3-(m-4)*15=6m | | 10x+5y=2000 | | 9-8a=26-a | | 201=3x+1.50y | | 2/3x-5=18 | | 16b=16(b+12) | | abs(x^2+4x)=4 | | 5c^3+55c^2+10c=0 | | 3t-12=12t+18 | | 6(-3)+3h= | | 11x+8=-11x-3 | | 3p^2+pa+8=10-p^2 | | 3x+2-4=31 | | 11x+8=-5x-3 | | 11x+8=11x-3 | | 2.66666666667w-14=10 | | 5/6-4/4 | | -2x-21x=14 | | 4u^2-3=-u | | 11x+8=5x-3 | | 8x+7x-40=60-5x | | 10v+4-8v-1= | | 201=1.50x+3y | | 8z-z=0 | | 8x-7+6x+8= | | 4z+8=7z-4z | | 11x+8=-11+1 | | 0.12+0.05(5000-p)=460 | | 11x+8=1x+1 | | 7x-15+6x-10x+9=24 | | 6q=45 | | 4u^2-3=-4 |

Equations solver categories