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

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

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

Reorder the terms:
4(-3 + 2x) + -4 = 4(x + -3) + 2
(-3 * 4 + 2x * 4) + -4 = 4(x + -3) + 2
(-12 + 8x) + -4 = 4(x + -3) + 2

Reorder the terms:
-12 + -4 + 8x = 4(x + -3) + 2

Combine like terms: -12 + -4 = -16
-16 + 8x = 4(x + -3) + 2

Reorder the terms:
-16 + 8x = 4(-3 + x) + 2
-16 + 8x = (-3 * 4 + x * 4) + 2
-16 + 8x = (-12 + 4x) + 2

Reorder the terms:
-16 + 8x = -12 + 2 + 4x

Combine like terms: -12 + 2 = -10
-16 + 8x = -10 + 4x

Solving
-16 + 8x = -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.
-16 + 8x + -4x = -10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-16 + 4x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 4x = -10 + 0
-16 + 4x = -10

Add '16' to each side of the equation.
-16 + 16 + 4x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = -10 + 16
4x = -10 + 16

Combine like terms: -10 + 16 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5