3(2x-4)=2(4x-13)-2

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Solution for 3(2x-4)=2(4x-13)-2 equation:


Simplifying
3(2x + -4) = 2(4x + -13) + -2

Reorder the terms:
3(-4 + 2x) = 2(4x + -13) + -2
(-4 * 3 + 2x * 3) = 2(4x + -13) + -2
(-12 + 6x) = 2(4x + -13) + -2

Reorder the terms:
-12 + 6x = 2(-13 + 4x) + -2
-12 + 6x = (-13 * 2 + 4x * 2) + -2
-12 + 6x = (-26 + 8x) + -2

Reorder the terms:
-12 + 6x = -26 + -2 + 8x

Combine like terms: -26 + -2 = -28
-12 + 6x = -28 + 8x

Solving
-12 + 6x = -28 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 6x + -8x = -28 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-12 + -2x = -28 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -2x = -28 + 0
-12 + -2x = -28

Add '12' to each side of the equation.
-12 + 12 + -2x = -28 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -28 + 12
-2x = -28 + 12

Combine like terms: -28 + 12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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