3(2x-2)-4=2(3x-5)-4(2x-3)

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Solution for 3(2x-2)-4=2(3x-5)-4(2x-3) equation:


Simplifying
3(2x + -2) + -4 = 2(3x + -5) + -4(2x + -3)

Reorder the terms:
3(-2 + 2x) + -4 = 2(3x + -5) + -4(2x + -3)
(-2 * 3 + 2x * 3) + -4 = 2(3x + -5) + -4(2x + -3)
(-6 + 6x) + -4 = 2(3x + -5) + -4(2x + -3)

Reorder the terms:
-6 + -4 + 6x = 2(3x + -5) + -4(2x + -3)

Combine like terms: -6 + -4 = -10
-10 + 6x = 2(3x + -5) + -4(2x + -3)

Reorder the terms:
-10 + 6x = 2(-5 + 3x) + -4(2x + -3)
-10 + 6x = (-5 * 2 + 3x * 2) + -4(2x + -3)
-10 + 6x = (-10 + 6x) + -4(2x + -3)

Reorder the terms:
-10 + 6x = -10 + 6x + -4(-3 + 2x)
-10 + 6x = -10 + 6x + (-3 * -4 + 2x * -4)
-10 + 6x = -10 + 6x + (12 + -8x)

Reorder the terms:
-10 + 6x = -10 + 12 + 6x + -8x

Combine like terms: -10 + 12 = 2
-10 + 6x = 2 + 6x + -8x

Combine like terms: 6x + -8x = -2x
-10 + 6x = 2 + -2x

Solving
-10 + 6x = 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.
-10 + 6x + 2x = 2 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-10 + 8x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 8x = 2 + 0
-10 + 8x = 2

Add '10' to each side of the equation.
-10 + 10 + 8x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 2 + 10
8x = 2 + 10

Combine like terms: 2 + 10 = 12
8x = 12

Divide each side by '8'.
x = 1.5

Simplifying
x = 1.5

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