-2x+11=5x-28

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Solution for -2x+11=5x-28 equation:


Simplifying
-2x + 11 = 5x + -28

Reorder the terms:
11 + -2x = 5x + -28

Reorder the terms:
11 + -2x = -28 + 5x

Solving
11 + -2x = -28 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11 + -2x + -5x = -28 + 5x + -5x

Combine like terms: -2x + -5x = -7x
11 + -7x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -7x = -28 + 0
11 + -7x = -28

Add '-11' to each side of the equation.
11 + -11 + -7x = -28 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -28 + -11
-7x = -28 + -11

Combine like terms: -28 + -11 = -39
-7x = -39

Divide each side by '-7'.
x = 5.571428571

Simplifying
x = 5.571428571

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