3x+52=8x+12

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Solution for 3x+52=8x+12 equation: 


Simplifying
3x + 52 = 8x + 12

Reorder the terms:
52 + 3x = 8x + 12

Reorder the terms:
52 + 3x = 12 + 8x

Solving
52 + 3x = 12 + 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.
52 + 3x + -8x = 12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
52 + -5x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
52 + -5x = 12 + 0
52 + -5x = 12

Add '-52' to each side of the equation.
52 + -52 + -5x = 12 + -52

Combine like terms: 52 + -52 = 0
0 + -5x = 12 + -52
-5x = 12 + -52

Combine like terms: 12 + -52 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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