4x+38=12x-31

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Solution for 4x+38=12x-31 equation:


Simplifying
4x + 38 = 12x + -31

Reorder the terms:
38 + 4x = 12x + -31

Reorder the terms:
38 + 4x = -31 + 12x

Solving
38 + 4x = -31 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
38 + 4x + -12x = -31 + 12x + -12x

Combine like terms: 4x + -12x = -8x
38 + -8x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
38 + -8x = -31 + 0
38 + -8x = -31

Add '-38' to each side of the equation.
38 + -38 + -8x = -31 + -38

Combine like terms: 38 + -38 = 0
0 + -8x = -31 + -38
-8x = -31 + -38

Combine like terms: -31 + -38 = -69
-8x = -69

Divide each side by '-8'.
x = 8.625

Simplifying
x = 8.625

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