5x+6=8x+15

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Solution for 5x+6=8x+15 equation:


Simplifying
5x + 6 = 8x + 15

Reorder the terms:
6 + 5x = 8x + 15

Reorder the terms:
6 + 5x = 15 + 8x

Solving
6 + 5x = 15 + 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.
6 + 5x + -8x = 15 + 8x + -8x

Combine like terms: 5x + -8x = -3x
6 + -3x = 15 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -3x = 15 + 0
6 + -3x = 15

Add '-6' to each side of the equation.
6 + -6 + -3x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 15 + -6
-3x = 15 + -6

Combine like terms: 15 + -6 = 9
-3x = 9

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

Simplifying
x = -3

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