4x+28=12x-52

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Solution for 4x+28=12x-52 equation:


Simplifying
4x + 28 = 12x + -52

Reorder the terms:
28 + 4x = 12x + -52

Reorder the terms:
28 + 4x = -52 + 12x

Solving
28 + 4x = -52 + 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.
28 + 4x + -12x = -52 + 12x + -12x

Combine like terms: 4x + -12x = -8x
28 + -8x = -52 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -8x = -52 + 0
28 + -8x = -52

Add '-28' to each side of the equation.
28 + -28 + -8x = -52 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = -52 + -28
-8x = -52 + -28

Combine like terms: -52 + -28 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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