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

Solution for 4(x-1)-3(x+2)=2(1-x)+3 equation:

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

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

Reorder the terms:
-4 + 4x + -3(2 + x) = 2(1 + -1x) + 3
-4 + 4x + (2 * -3 + x * -3) = 2(1 + -1x) + 3
-4 + 4x + (-6 + -3x) = 2(1 + -1x) + 3

Reorder the terms:
-4 + -6 + 4x + -3x = 2(1 + -1x) + 3

Combine like terms: -4 + -6 = -10
-10 + 4x + -3x = 2(1 + -1x) + 3

Combine like terms: 4x + -3x = 1x
-10 + 1x = 2(1 + -1x) + 3
-10 + 1x = (1 * 2 + -1x * 2) + 3
-10 + 1x = (2 + -2x) + 3

Reorder the terms:
-10 + 1x = 2 + 3 + -2x

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

Solving
-10 + 1x = 5 + -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.
-10 + 1x + 2x = 5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-10 + 3x = 5 + 0
-10 + 3x = 5

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

Combine like terms: -10 + 10 = 0
0 + 3x = 5 + 10
3x = 5 + 10

Combine like terms: 5 + 10 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5