7(x+12)=5(x-4)

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Solution for 7(x+12)=5(x-4) equation:


Simplifying
7(x + 12) = 5(x + -4)

Reorder the terms:
7(12 + x) = 5(x + -4)
(12 * 7 + x * 7) = 5(x + -4)
(84 + 7x) = 5(x + -4)

Reorder the terms:
84 + 7x = 5(-4 + x)
84 + 7x = (-4 * 5 + x * 5)
84 + 7x = (-20 + 5x)

Solving
84 + 7x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
84 + 7x + -5x = -20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
84 + 2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
84 + 2x = -20 + 0
84 + 2x = -20

Add '-84' to each side of the equation.
84 + -84 + 2x = -20 + -84

Combine like terms: 84 + -84 = 0
0 + 2x = -20 + -84
2x = -20 + -84

Combine like terms: -20 + -84 = -104
2x = -104

Divide each side by '2'.
x = -52

Simplifying
x = -52

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