8x+17=13x-18

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Solution for 8x+17=13x-18 equation:


Simplifying
8x + 17 = 13x + -18

Reorder the terms:
17 + 8x = 13x + -18

Reorder the terms:
17 + 8x = -18 + 13x

Solving
17 + 8x = -18 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
17 + 8x + -13x = -18 + 13x + -13x

Combine like terms: 8x + -13x = -5x
17 + -5x = -18 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -5x = -18 + 0
17 + -5x = -18

Add '-17' to each side of the equation.
17 + -17 + -5x = -18 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = -18 + -17
-5x = -18 + -17

Combine like terms: -18 + -17 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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