-7(x-2)=5(x+2)

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Solution for -7(x-2)=5(x+2) equation:


Simplifying
-7(x + -2) = 5(x + 2)

Reorder the terms:
-7(-2 + x) = 5(x + 2)
(-2 * -7 + x * -7) = 5(x + 2)
(14 + -7x) = 5(x + 2)

Reorder the terms:
14 + -7x = 5(2 + x)
14 + -7x = (2 * 5 + x * 5)
14 + -7x = (10 + 5x)

Solving
14 + -7x = 10 + 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.
14 + -7x + -5x = 10 + 5x + -5x

Combine like terms: -7x + -5x = -12x
14 + -12x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -12x = 10 + 0
14 + -12x = 10

Add '-14' to each side of the equation.
14 + -14 + -12x = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -12x = 10 + -14
-12x = 10 + -14

Combine like terms: 10 + -14 = -4
-12x = -4

Divide each side by '-12'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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