5x-6=3(2x-4)

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Solution for 5x-6=3(2x-4) equation:


Simplifying
5x + -6 = 3(2x + -4)

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

Reorder the terms:
-6 + 5x = 3(-4 + 2x)
-6 + 5x = (-4 * 3 + 2x * 3)
-6 + 5x = (-12 + 6x)

Solving
-6 + 5x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = -12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = -12 + 0
-6 + -1x = -12

Add '6' to each side of the equation.
-6 + 6 + -1x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -12 + 6
-1x = -12 + 6

Combine like terms: -12 + 6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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