-5x+13-7=8x-14-16

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Solution for -5x+13-7=8x-14-16 equation:


Simplifying
-5x + 13 + -7 = 8x + -14 + -16

Reorder the terms:
13 + -7 + -5x = 8x + -14 + -16

Combine like terms: 13 + -7 = 6
6 + -5x = 8x + -14 + -16

Reorder the terms:
6 + -5x = -14 + -16 + 8x

Combine like terms: -14 + -16 = -30
6 + -5x = -30 + 8x

Solving
6 + -5x = -30 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + -5x + -8x = -30 + 8x + -8x

Combine like terms: -5x + -8x = -13x
6 + -13x = -30 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -13x = -30 + 0
6 + -13x = -30

Add '-6' to each side of the equation.
6 + -6 + -13x = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -30 + -6
-13x = -30 + -6

Combine like terms: -30 + -6 = -36
-13x = -36

Divide each side by '-13'.
x = 2.769230769

Simplifying
x = 2.769230769

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