4x+28=11x-49

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Solution for 4x+28=11x-49 equation:


Simplifying
4x + 28 = 11x + -49

Reorder the terms:
28 + 4x = 11x + -49

Reorder the terms:
28 + 4x = -49 + 11x

Solving
28 + 4x = -49 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
28 + 4x + -11x = -49 + 11x + -11x

Combine like terms: 4x + -11x = -7x
28 + -7x = -49 + 11x + -11x

Combine like terms: 11x + -11x = 0
28 + -7x = -49 + 0
28 + -7x = -49

Add '-28' to each side of the equation.
28 + -28 + -7x = -49 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = -49 + -28
-7x = -49 + -28

Combine like terms: -49 + -28 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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