5x+30=12x-47

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Solution for 5x+30=12x-47 equation:


Simplifying
5x + 30 = 12x + -47

Reorder the terms:
30 + 5x = 12x + -47

Reorder the terms:
30 + 5x = -47 + 12x

Solving
30 + 5x = -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.
30 + 5x + -12x = -47 + 12x + -12x

Combine like terms: 5x + -12x = -7x
30 + -7x = -47 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -7x = -47 + 0
30 + -7x = -47

Add '-30' to each side of the equation.
30 + -30 + -7x = -47 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -47 + -30
-7x = -47 + -30

Combine like terms: -47 + -30 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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