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

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

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

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

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

Combine like terms: 6x + -2x = 4x
2(-3 + 4x) = 3(x + 2 + -1x)
(-3 * 2 + 4x * 2) = 3(x + 2 + -1x)
(-6 + 8x) = 3(x + 2 + -1x)

Reorder the terms:
-6 + 8x = 3(2 + x + -1x)

Combine like terms: x + -1x = 0
-6 + 8x = 3(2 + 0)
-6 + 8x = 3(2)

Multiply 3 * 2
-6 + 8x = 6

Solving
-6 + 8x = 6

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 6 + 6
8x = 6 + 6

Combine like terms: 6 + 6 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5