9(x+8)+4=-11(x-7)-10

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Solution for 9(x+8)+4=-11(x-7)-10 equation:


Simplifying
9(x + 8) + 4 = -11(x + -7) + -10

Reorder the terms:
9(8 + x) + 4 = -11(x + -7) + -10
(8 * 9 + x * 9) + 4 = -11(x + -7) + -10
(72 + 9x) + 4 = -11(x + -7) + -10

Reorder the terms:
72 + 4 + 9x = -11(x + -7) + -10

Combine like terms: 72 + 4 = 76
76 + 9x = -11(x + -7) + -10

Reorder the terms:
76 + 9x = -11(-7 + x) + -10
76 + 9x = (-7 * -11 + x * -11) + -10
76 + 9x = (77 + -11x) + -10

Reorder the terms:
76 + 9x = 77 + -10 + -11x

Combine like terms: 77 + -10 = 67
76 + 9x = 67 + -11x

Solving
76 + 9x = 67 + -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.
76 + 9x + 11x = 67 + -11x + 11x

Combine like terms: 9x + 11x = 20x
76 + 20x = 67 + -11x + 11x

Combine like terms: -11x + 11x = 0
76 + 20x = 67 + 0
76 + 20x = 67

Add '-76' to each side of the equation.
76 + -76 + 20x = 67 + -76

Combine like terms: 76 + -76 = 0
0 + 20x = 67 + -76
20x = 67 + -76

Combine like terms: 67 + -76 = -9
20x = -9

Divide each side by '20'.
x = -0.45

Simplifying
x = -0.45

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