5(2x+4)=12x-6+2

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Solution for 5(2x+4)=12x-6+2 equation:


Simplifying
5(2x + 4) = 12x + -6 + 2

Reorder the terms:
5(4 + 2x) = 12x + -6 + 2
(4 * 5 + 2x * 5) = 12x + -6 + 2
(20 + 10x) = 12x + -6 + 2

Reorder the terms:
20 + 10x = -6 + 2 + 12x

Combine like terms: -6 + 2 = -4
20 + 10x = -4 + 12x

Solving
20 + 10x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 10x + -12x = -4 + 12x + -12x

Combine like terms: 10x + -12x = -2x
20 + -2x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -2x = -4 + 0
20 + -2x = -4

Add '-20' to each side of the equation.
20 + -20 + -2x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -4 + -20
-2x = -4 + -20

Combine like terms: -4 + -20 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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