.5(6x-4)=10x+12

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Solution for .5(6x-4)=10x+12 equation:


Simplifying
0.5(6x + -4) = 10x + 12

Reorder the terms:
0.5(-4 + 6x) = 10x + 12
(-4 * 0.5 + 6x * 0.5) = 10x + 12
(-2 + 3x) = 10x + 12

Reorder the terms:
-2 + 3x = 12 + 10x

Solving
-2 + 3x = 12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + 3x + -10x = 12 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-2 + -7x = 12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -7x = 12 + 0
-2 + -7x = 12

Add '2' to each side of the equation.
-2 + 2 + -7x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 12 + 2
-7x = 12 + 2

Combine like terms: 12 + 2 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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