5(x-2)+52=-2x

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Solution for 5(x-2)+52=-2x equation:


Simplifying
5(x + -2) + 52 = -2x

Reorder the terms:
5(-2 + x) + 52 = -2x
(-2 * 5 + x * 5) + 52 = -2x
(-10 + 5x) + 52 = -2x

Reorder the terms:
-10 + 52 + 5x = -2x

Combine like terms: -10 + 52 = 42
42 + 5x = -2x

Solving
42 + 5x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
42 + 5x + 2x = -2x + 2x

Combine like terms: 5x + 2x = 7x
42 + 7x = -2x + 2x

Combine like terms: -2x + 2x = 0
42 + 7x = 0

Add '-42' to each side of the equation.
42 + -42 + 7x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 7x = 0 + -42
7x = 0 + -42

Combine like terms: 0 + -42 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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