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 = 5x
-1 + 5x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 5x = -8 + 0
-1 + 5x = -8

Add '1' to each side of the equation.
-1 + 1 + 5x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = -8 + 1
5x = -8 + 1

Combine like terms: -8 + 1 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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