7(x+8)=11x-4

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Solution for 7(x+8)=11x-4 equation:


Simplifying
7(x + 8) = 11x + -4

Reorder the terms:
7(8 + x) = 11x + -4
(8 * 7 + x * 7) = 11x + -4
(56 + 7x) = 11x + -4

Reorder the terms:
56 + 7x = -4 + 11x

Solving
56 + 7x = -4 + 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.
56 + 7x + -11x = -4 + 11x + -11x

Combine like terms: 7x + -11x = -4x
56 + -4x = -4 + 11x + -11x

Combine like terms: 11x + -11x = 0
56 + -4x = -4 + 0
56 + -4x = -4

Add '-56' to each side of the equation.
56 + -56 + -4x = -4 + -56

Combine like terms: 56 + -56 = 0
0 + -4x = -4 + -56
-4x = -4 + -56

Combine like terms: -4 + -56 = -60
-4x = -60

Divide each side by '-4'.
x = 15

Simplifying
x = 15

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