2x+28=7x-7

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Solution for 2x+28=7x-7 equation:


Simplifying
2x + 28 = 7x + -7

Reorder the terms:
28 + 2x = 7x + -7

Reorder the terms:
28 + 2x = -7 + 7x

Solving
28 + 2x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
28 + 2x + -7x = -7 + 7x + -7x

Combine like terms: 2x + -7x = -5x
28 + -5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
28 + -5x = -7 + 0
28 + -5x = -7

Add '-28' to each side of the equation.
28 + -28 + -5x = -7 + -28

Combine like terms: 28 + -28 = 0
0 + -5x = -7 + -28
-5x = -7 + -28

Combine like terms: -7 + -28 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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