7(x+7)+3=-11(x-11)-4

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Solution for 7(x+7)+3=-11(x-11)-4 equation:


Simplifying
7(x + 7) + 3 = -11(x + -11) + -4

Reorder the terms:
7(7 + x) + 3 = -11(x + -11) + -4
(7 * 7 + x * 7) + 3 = -11(x + -11) + -4
(49 + 7x) + 3 = -11(x + -11) + -4

Reorder the terms:
49 + 3 + 7x = -11(x + -11) + -4

Combine like terms: 49 + 3 = 52
52 + 7x = -11(x + -11) + -4

Reorder the terms:
52 + 7x = -11(-11 + x) + -4
52 + 7x = (-11 * -11 + x * -11) + -4
52 + 7x = (121 + -11x) + -4

Reorder the terms:
52 + 7x = 121 + -4 + -11x

Combine like terms: 121 + -4 = 117
52 + 7x = 117 + -11x

Solving
52 + 7x = 117 + -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.
52 + 7x + 11x = 117 + -11x + 11x

Combine like terms: 7x + 11x = 18x
52 + 18x = 117 + -11x + 11x

Combine like terms: -11x + 11x = 0
52 + 18x = 117 + 0
52 + 18x = 117

Add '-52' to each side of the equation.
52 + -52 + 18x = 117 + -52

Combine like terms: 52 + -52 = 0
0 + 18x = 117 + -52
18x = 117 + -52

Combine like terms: 117 + -52 = 65
18x = 65

Divide each side by '18'.
x = 3.611111111

Simplifying
x = 3.611111111

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