2x+28=10x-52

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Solution for 2x+28=10x-52 equation:


Simplifying
2x + 28 = 10x + -52

Reorder the terms:
28 + 2x = 10x + -52

Reorder the terms:
28 + 2x = -52 + 10x

Solving
28 + 2x = -52 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
28 + 2x + -10x = -52 + 10x + -10x

Combine like terms: 2x + -10x = -8x
28 + -8x = -52 + 10x + -10x

Combine like terms: 10x + -10x = 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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