2x+38=12x-47

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Solution for 2x+38=12x-47 equation:


Simplifying
2x + 38 = 12x + -47

Reorder the terms:
38 + 2x = 12x + -47

Reorder the terms:
38 + 2x = -47 + 12x

Solving
38 + 2x = -47 + 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 + 2x + -12x = -47 + 12x + -12x

Combine like terms: 2x + -12x = -10x
38 + -10x = -47 + 12x + -12x

Combine like terms: 12x + -12x = 0
38 + -10x = -47 + 0
38 + -10x = -47

Add '-38' to each side of the equation.
38 + -38 + -10x = -47 + -38

Combine like terms: 38 + -38 = 0
0 + -10x = -47 + -38
-10x = -47 + -38

Combine like terms: -47 + -38 = -85
-10x = -85

Divide each side by '-10'.
x = 8.5

Simplifying
x = 8.5

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