12x+7=8x+31

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Solution for 12x+7=8x+31 equation:


Simplifying
12x + 7 = 8x + 31

Reorder the terms:
7 + 12x = 8x + 31

Reorder the terms:
7 + 12x = 31 + 8x

Solving
7 + 12x = 31 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 12x + -8x = 31 + 8x + -8x

Combine like terms: 12x + -8x = 4x
7 + 4x = 31 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 4x = 31 + 0
7 + 4x = 31

Add '-7' to each side of the equation.
7 + -7 + 4x = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 31 + -7
4x = 31 + -7

Combine like terms: 31 + -7 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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