3x+69=8x-6

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Solution for 3x+69=8x-6 equation:


Simplifying
3x + 69 = 8x + -6

Reorder the terms:
69 + 3x = 8x + -6

Reorder the terms:
69 + 3x = -6 + 8x

Solving
69 + 3x = -6 + 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.
69 + 3x + -8x = -6 + 8x + -8x

Combine like terms: 3x + -8x = -5x
69 + -5x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
69 + -5x = -6 + 0
69 + -5x = -6

Add '-69' to each side of the equation.
69 + -69 + -5x = -6 + -69

Combine like terms: 69 + -69 = 0
0 + -5x = -6 + -69
-5x = -6 + -69

Combine like terms: -6 + -69 = -75
-5x = -75

Divide each side by '-5'.
x = 15

Simplifying
x = 15

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