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

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


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

Reorder the terms:
-7(7 + x) = 4x + 28
(7 * -7 + x * -7) = 4x + 28
(-49 + -7x) = 4x + 28

Reorder the terms:
-49 + -7x = 28 + 4x

Solving
-49 + -7x = 28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-49 + -7x + -4x = 28 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-49 + -11x = 28 + 0
-49 + -11x = 28

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

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

Combine like terms: 28 + 49 = 77
-11x = 77

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

Simplifying
x = -7

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