9(x+7)+4=-11(x-5)-4

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Solution for 9(x+7)+4=-11(x-5)-4 equation:


Simplifying
9(x + 7) + 4 = -11(x + -5) + -4

Reorder the terms:
9(7 + x) + 4 = -11(x + -5) + -4
(7 * 9 + x * 9) + 4 = -11(x + -5) + -4
(63 + 9x) + 4 = -11(x + -5) + -4

Reorder the terms:
63 + 4 + 9x = -11(x + -5) + -4

Combine like terms: 63 + 4 = 67
67 + 9x = -11(x + -5) + -4

Reorder the terms:
67 + 9x = -11(-5 + x) + -4
67 + 9x = (-5 * -11 + x * -11) + -4
67 + 9x = (55 + -11x) + -4

Reorder the terms:
67 + 9x = 55 + -4 + -11x

Combine like terms: 55 + -4 = 51
67 + 9x = 51 + -11x

Solving
67 + 9x = 51 + -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.
67 + 9x + 11x = 51 + -11x + 11x

Combine like terms: 9x + 11x = 20x
67 + 20x = 51 + -11x + 11x

Combine like terms: -11x + 11x = 0
67 + 20x = 51 + 0
67 + 20x = 51

Add '-67' to each side of the equation.
67 + -67 + 20x = 51 + -67

Combine like terms: 67 + -67 = 0
0 + 20x = 51 + -67
20x = 51 + -67

Combine like terms: 51 + -67 = -16
20x = -16

Divide each side by '20'.
x = -0.8

Simplifying
x = -0.8

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