8x+7=3x-13

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Solution for 8x+7=3x-13 equation:


Simplifying
8x + 7 = 3x + -13

Reorder the terms:
7 + 8x = 3x + -13

Reorder the terms:
7 + 8x = -13 + 3x

Solving
7 + 8x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + 8x + -3x = -13 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
7 + 5x = -13 + 0
7 + 5x = -13

Add '-7' to each side of the equation.
7 + -7 + 5x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -13 + -7
5x = -13 + -7

Combine like terms: -13 + -7 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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