7(x+4)=11x-28

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Solution for 7(x+4)=11x-28 equation:


Simplifying
7(x + 4) = 11x + -28

Reorder the terms:
7(4 + x) = 11x + -28
(4 * 7 + x * 7) = 11x + -28
(28 + 7x) = 11x + -28

Reorder the terms:
28 + 7x = -28 + 11x

Solving
28 + 7x = -28 + 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 + 7x + -11x = -28 + 11x + -11x

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

Combine like terms: 11x + -11x = 0
28 + -4x = -28 + 0
28 + -4x = -28

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

Combine like terms: 28 + -28 = 0
0 + -4x = -28 + -28
-4x = -28 + -28

Combine like terms: -28 + -28 = -56
-4x = -56

Divide each side by '-4'.
x = 14

Simplifying
x = 14

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