5x+38=15x-42

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Solution for 5x+38=15x-42 equation:


Simplifying
5x + 38 = 15x + -42

Reorder the terms:
38 + 5x = 15x + -42

Reorder the terms:
38 + 5x = -42 + 15x

Solving
38 + 5x = -42 + 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.
38 + 5x + -15x = -42 + 15x + -15x

Combine like terms: 5x + -15x = -10x
38 + -10x = -42 + 15x + -15x

Combine like terms: 15x + -15x = 0
38 + -10x = -42 + 0
38 + -10x = -42

Add '-38' to each side of the equation.
38 + -38 + -10x = -42 + -38

Combine like terms: 38 + -38 = 0
0 + -10x = -42 + -38
-10x = -42 + -38

Combine like terms: -42 + -38 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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