7(x+2)=12x-4

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Solution for 7(x+2)=12x-4 equation:


Simplifying
7(x + 2) = 12x + -4

Reorder the terms:
7(2 + x) = 12x + -4
(2 * 7 + x * 7) = 12x + -4
(14 + 7x) = 12x + -4

Reorder the terms:
14 + 7x = -4 + 12x

Solving
14 + 7x = -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.
14 + 7x + -12x = -4 + 12x + -12x

Combine like terms: 7x + -12x = -5x
14 + -5x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
14 + -5x = -4 + 0
14 + -5x = -4

Add '-14' to each side of the equation.
14 + -14 + -5x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -4 + -14
-5x = -4 + -14

Combine like terms: -4 + -14 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

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