8x+13=3x-17

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Solution for 8x+13=3x-17 equation:


Simplifying
8x + 13 = 3x + -17

Reorder the terms:
13 + 8x = 3x + -17

Reorder the terms:
13 + 8x = -17 + 3x

Solving
13 + 8x = -17 + 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.
13 + 8x + -3x = -17 + 3x + -3x

Combine like terms: 8x + -3x = 5x
13 + 5x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 5x = -17 + 0
13 + 5x = -17

Add '-13' to each side of the equation.
13 + -13 + 5x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = -17 + -13
5x = -17 + -13

Combine like terms: -17 + -13 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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