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

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

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

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

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

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

Combine like terms: -4 + -3 = -7
-7 + 4x + -3x = 2(x + -4)

Combine like terms: 4x + -3x = 1x
-7 + 1x = 2(x + -4)

Reorder the terms:
-7 + 1x = 2(-4 + x)
-7 + 1x = (-4 * 2 + x * 2)
-7 + 1x = (-8 + 2x)

Solving
-7 + 1x = -8 + 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.
-7 + 1x + -2x = -8 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-7 + -1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + -1x = -8 + 0
-7 + -1x = -8

Add '7' to each side of the equation.
-7 + 7 + -1x = -8 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -8 + 7
-1x = -8 + 7

Combine like terms: -8 + 7 = -1
-1x = -1

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

Simplifying
x = 1