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

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

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

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

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

Solving
-6 + 4x = 2 + 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.
-6 + 4x + -2x = 2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-6 + 2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 2x = 2 + 0
-6 + 2x = 2

Add '6' to each side of the equation.
-6 + 6 + 2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 2 + 6
2x = 2 + 6

Combine like terms: 2 + 6 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4