8(x+1)+4=-9(x-8)-5

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Solution for 8(x+1)+4=-9(x-8)-5 equation:


Simplifying
8(x + 1) + 4 = -9(x + -8) + -5

Reorder the terms:
8(1 + x) + 4 = -9(x + -8) + -5
(1 * 8 + x * 8) + 4 = -9(x + -8) + -5
(8 + 8x) + 4 = -9(x + -8) + -5

Reorder the terms:
8 + 4 + 8x = -9(x + -8) + -5

Combine like terms: 8 + 4 = 12
12 + 8x = -9(x + -8) + -5

Reorder the terms:
12 + 8x = -9(-8 + x) + -5
12 + 8x = (-8 * -9 + x * -9) + -5
12 + 8x = (72 + -9x) + -5

Reorder the terms:
12 + 8x = 72 + -5 + -9x

Combine like terms: 72 + -5 = 67
12 + 8x = 67 + -9x

Solving
12 + 8x = 67 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
12 + 8x + 9x = 67 + -9x + 9x

Combine like terms: 8x + 9x = 17x
12 + 17x = 67 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 17x = 67 + 0
12 + 17x = 67

Add '-12' to each side of the equation.
12 + -12 + 17x = 67 + -12

Combine like terms: 12 + -12 = 0
0 + 17x = 67 + -12
17x = 67 + -12

Combine like terms: 67 + -12 = 55
17x = 55

Divide each side by '17'.
x = 3.235294118

Simplifying
x = 3.235294118

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