7(x-2)+13=-2x-8

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Solution for 7(x-2)+13=-2x-8 equation:


Simplifying
7(x + -2) + 13 = -2x + -8

Reorder the terms:
7(-2 + x) + 13 = -2x + -8
(-2 * 7 + x * 7) + 13 = -2x + -8
(-14 + 7x) + 13 = -2x + -8

Reorder the terms:
-14 + 13 + 7x = -2x + -8

Combine like terms: -14 + 13 = -1
-1 + 7x = -2x + -8

Reorder the terms:
-1 + 7x = -8 + -2x

Solving
-1 + 7x = -8 + -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.
-1 + 7x + 2x = -8 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-1 + 9x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 9x = -8 + 0
-1 + 9x = -8

Add '1' to each side of the equation.
-1 + 1 + 9x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + 9x = -8 + 1
9x = -8 + 1

Combine like terms: -8 + 1 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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