-3(x-1)=4(x+2)+2

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


Simplifying
-3(x + -1) = 4(x + 2) + 2

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

Reorder the terms:
3 + -3x = 4(2 + x) + 2
3 + -3x = (2 * 4 + x * 4) + 2
3 + -3x = (8 + 4x) + 2

Reorder the terms:
3 + -3x = 8 + 2 + 4x

Combine like terms: 8 + 2 = 10
3 + -3x = 10 + 4x

Solving
3 + -3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -3x + -4x = 10 + 4x + -4x

Combine like terms: -3x + -4x = -7x
3 + -7x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -7x = 10 + 0
3 + -7x = 10

Add '-3' to each side of the equation.
3 + -3 + -7x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 10 + -3
-7x = 10 + -3

Combine like terms: 10 + -3 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

See similar equations:

| 5x+3+6x-11=8x+25 | | 7x+9=37 | | 11x-10=78 | | 12-2x=22 | | 2x-14=-2 | | 3w+3=3 | | 2y+7=-7 | | 5m+6+2(2m-5)=5(m+5) | | 9x-5(3x-12)=30 | | 55x-3(9x+12)=-64 | | 2(x+3)=2x+3 | | 5m-(4m-1)=-12 | | 2(x+3)=2x+6 | | 12(2-x)=6 | | 2(x+3)=3x-3 | | 3x-7+x=5 | | 58.5+6=3.5x-6+6 | | 58.5=3.5x+6 | | 3x-7=x+5 | | 58.5=3.5x-6 | | 6x-4(-3x+2)=10 | | 5(x-7)=90 | | 6x+4=3x-2 | | 8n+3=-5 | | 1-2x=63 | | -55=5+5x | | -4x+6=34 | | 8x+13=-163 | | 6(x+4)=3x-2 | | 17=(-13)-8x | | 3(x+2)=-15 | | 3(x+2)=2x |

Equations solver categories