5x+17=15x-53

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Solution for 5x+17=15x-53 equation:


Simplifying
5x + 17 = 15x + -53

Reorder the terms:
17 + 5x = 15x + -53

Reorder the terms:
17 + 5x = -53 + 15x

Solving
17 + 5x = -53 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
17 + 5x + -15x = -53 + 15x + -15x

Combine like terms: 5x + -15x = -10x
17 + -10x = -53 + 15x + -15x

Combine like terms: 15x + -15x = 0
17 + -10x = -53 + 0
17 + -10x = -53

Add '-17' to each side of the equation.
17 + -17 + -10x = -53 + -17

Combine like terms: 17 + -17 = 0
0 + -10x = -53 + -17
-10x = -53 + -17

Combine like terms: -53 + -17 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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