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

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


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

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

Reorder the terms:
10 + -5x = -2 + -7x

Solving
10 + -5x = -2 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + -5x + 7x = -2 + -7x + 7x

Combine like terms: -5x + 7x = 2x
10 + 2x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 2x = -2 + 0
10 + 2x = -2

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

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

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

Divide each side by '2'.
x = -6

Simplifying
x = -6

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