2x+27=7x-28

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Solution for 2x+27=7x-28 equation:


Simplifying
2x + 27 = 7x + -28

Reorder the terms:
27 + 2x = 7x + -28

Reorder the terms:
27 + 2x = -28 + 7x

Solving
27 + 2x = -28 + 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.
27 + 2x + -7x = -28 + 7x + -7x

Combine like terms: 2x + -7x = -5x
27 + -5x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -5x = -28 + 0
27 + -5x = -28

Add '-27' to each side of the equation.
27 + -27 + -5x = -28 + -27

Combine like terms: 27 + -27 = 0
0 + -5x = -28 + -27
-5x = -28 + -27

Combine like terms: -28 + -27 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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