5x+38=14x-70

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Solution for 5x+38=14x-70 equation:


Simplifying
5x + 38 = 14x + -70

Reorder the terms:
38 + 5x = 14x + -70

Reorder the terms:
38 + 5x = -70 + 14x

Solving
38 + 5x = -70 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
38 + 5x + -14x = -70 + 14x + -14x

Combine like terms: 5x + -14x = -9x
38 + -9x = -70 + 14x + -14x

Combine like terms: 14x + -14x = 0
38 + -9x = -70 + 0
38 + -9x = -70

Add '-38' to each side of the equation.
38 + -38 + -9x = -70 + -38

Combine like terms: 38 + -38 = 0
0 + -9x = -70 + -38
-9x = -70 + -38

Combine like terms: -70 + -38 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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