5x+7=8x-13

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


Simplifying
5x + 7 = 8x + -13

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

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

Solving
7 + 5x = -13 + 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.
7 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
7 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -3x = -13 + 0
7 + -3x = -13

Add '-7' to each side of the equation.
7 + -7 + -3x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -13 + -7
-3x = -13 + -7

Combine like terms: -13 + -7 = -20
-3x = -20

Divide each side by '-3'.
x = 6.666666667

Simplifying
x = 6.666666667

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