3(2x-3)=2(8x-12)

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Solution for 3(2x-3)=2(8x-12) equation:


Simplifying
3(2x + -3) = 2(8x + -12)

Reorder the terms:
3(-3 + 2x) = 2(8x + -12)
(-3 * 3 + 2x * 3) = 2(8x + -12)
(-9 + 6x) = 2(8x + -12)

Reorder the terms:
-9 + 6x = 2(-12 + 8x)
-9 + 6x = (-12 * 2 + 8x * 2)
-9 + 6x = (-24 + 16x)

Solving
-9 + 6x = -24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-9 + 6x + -16x = -24 + 16x + -16x

Combine like terms: 6x + -16x = -10x
-9 + -10x = -24 + 16x + -16x

Combine like terms: 16x + -16x = 0
-9 + -10x = -24 + 0
-9 + -10x = -24

Add '9' to each side of the equation.
-9 + 9 + -10x = -24 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = -24 + 9
-10x = -24 + 9

Combine like terms: -24 + 9 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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