3(6x-4)=2(10x+8)

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Solution for 3(6x-4)=2(10x+8) equation:


Simplifying
3(6x + -4) = 2(10x + 8)

Reorder the terms:
3(-4 + 6x) = 2(10x + 8)
(-4 * 3 + 6x * 3) = 2(10x + 8)
(-12 + 18x) = 2(10x + 8)

Reorder the terms:
-12 + 18x = 2(8 + 10x)
-12 + 18x = (8 * 2 + 10x * 2)
-12 + 18x = (16 + 20x)

Solving
-12 + 18x = 16 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-12 + 18x + -20x = 16 + 20x + -20x

Combine like terms: 18x + -20x = -2x
-12 + -2x = 16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-12 + -2x = 16 + 0
-12 + -2x = 16

Add '12' to each side of the equation.
-12 + 12 + -2x = 16 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 16 + 12
-2x = 16 + 12

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

Divide each side by '-2'.
x = -14

Simplifying
x = -14

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