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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
-12 + 2x = 6 + 0
-12 + 2x = 6

Add '12' to each side of the equation.
-12 + 12 + 2x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 6 + 12
2x = 6 + 12

Combine like terms: 6 + 12 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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