-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 = -2x
-14 + -2x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + -2x = 10 + 0
-14 + -2x = 10

Add '14' to each side of the equation.
-14 + 14 + -2x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 10 + 14
-2x = 10 + 14

Combine like terms: 10 + 14 = 24
-2x = 24

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

Simplifying
x = -12

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