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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -3x = 4 + -2(x + -3)

Reorder the terms:
5 + -3x = 4 + -2(-3 + x)
5 + -3x = 4 + (-3 * -2 + x * -2)
5 + -3x = 4 + (6 + -2x)

Combine like terms: 4 + 6 = 10
5 + -3x = 10 + -2x

Solving
5 + -3x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
5 + -3x + 2x = 10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
5 + -1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + -1x = 10 + 0
5 + -1x = 10

Add '-5' to each side of the equation.
5 + -5 + -1x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 10 + -5
-1x = 10 + -5

Combine like terms: 10 + -5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

See similar equations:

| 2n^2+5n+2=0 | | .75(x+9)=15 | | 5x-8=0 | | 2v^2+11v+5=0 | | 5=4(n+2)-n | | 8t^3-32t+8=0 | | 5n^2+19n+12=0 | | 4(x+3)-x=0 | | -13=n+(-39) | | y^2+3y=5 | | 10=-6+x | | 21=6r+5-7c | | 15=3(c-1)+9 | | 3(f+2)+9-5f=13 | | 4(x+1)=2(x-1) | | 8x+5=0 | | 3n^2-8n+4=0 | | 2x+6=5x | | a^2-5a-6=0 | | 9x+1=5(x-3) | | 7x-3-2x=8 | | 13.4+5d=3d | | 3(x-8)=7x+4 | | 6x-5=5(x-1) | | 35=22x-12x+5 | | n-2.1=33 | | (9x+8)=(6X+7) | | 34=2x+8(x+3) | | 2x-3=4x-1 | | 3x+88=44 | | 8x-(8+6x)=20 | | 3(-2)+-2+8= |

Equations solver categories