5x+65=8x-13

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Solution for 5x+65=8x-13 equation:


Simplifying
5x + 65 = 8x + -13

Reorder the terms:
65 + 5x = 8x + -13

Reorder the terms:
65 + 5x = -13 + 8x

Solving
65 + 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.
65 + 5x + -8x = -13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
65 + -3x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
65 + -3x = -13 + 0
65 + -3x = -13

Add '-65' to each side of the equation.
65 + -65 + -3x = -13 + -65

Combine like terms: 65 + -65 = 0
0 + -3x = -13 + -65
-3x = -13 + -65

Combine like terms: -13 + -65 = -78
-3x = -78

Divide each side by '-3'.
x = 26

Simplifying
x = 26

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