3x+69=10x-36

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Solution for 3x+69=10x-36 equation:


Simplifying
3x + 69 = 10x + -36

Reorder the terms:
69 + 3x = 10x + -36

Reorder the terms:
69 + 3x = -36 + 10x

Solving
69 + 3x = -36 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
69 + 3x + -10x = -36 + 10x + -10x

Combine like terms: 3x + -10x = -7x
69 + -7x = -36 + 10x + -10x

Combine like terms: 10x + -10x = 0
69 + -7x = -36 + 0
69 + -7x = -36

Add '-69' to each side of the equation.
69 + -69 + -7x = -36 + -69

Combine like terms: 69 + -69 = 0
0 + -7x = -36 + -69
-7x = -36 + -69

Combine like terms: -36 + -69 = -105
-7x = -105

Divide each side by '-7'.
x = 15

Simplifying
x = 15

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