3x+39=10x-17

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Solution for 3x+39=10x-17 equation:


Simplifying
3x + 39 = 10x + -17

Reorder the terms:
39 + 3x = 10x + -17

Reorder the terms:
39 + 3x = -17 + 10x

Solving
39 + 3x = -17 + 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.
39 + 3x + -10x = -17 + 10x + -10x

Combine like terms: 3x + -10x = -7x
39 + -7x = -17 + 10x + -10x

Combine like terms: 10x + -10x = 0
39 + -7x = -17 + 0
39 + -7x = -17

Add '-39' to each side of the equation.
39 + -39 + -7x = -17 + -39

Combine like terms: 39 + -39 = 0
0 + -7x = -17 + -39
-7x = -17 + -39

Combine like terms: -17 + -39 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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