7(x+9)+4=-9(x-10)-5

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Solution for 7(x+9)+4=-9(x-10)-5 equation: 


Simplifying
7(x + 9) + 4 = -9(x + -10) + -5

Reorder the terms:
7(9 + x) + 4 = -9(x + -10) + -5
(9 * 7 + x * 7) + 4 = -9(x + -10) + -5
(63 + 7x) + 4 = -9(x + -10) + -5

Reorder the terms:
63 + 4 + 7x = -9(x + -10) + -5

Combine like terms: 63 + 4 = 67
67 + 7x = -9(x + -10) + -5

Reorder the terms:
67 + 7x = -9(-10 + x) + -5
67 + 7x = (-10 * -9 + x * -9) + -5
67 + 7x = (90 + -9x) + -5

Reorder the terms:
67 + 7x = 90 + -5 + -9x

Combine like terms: 90 + -5 = 85
67 + 7x = 85 + -9x

Solving
67 + 7x = 85 + -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.
67 + 7x + 9x = 85 + -9x + 9x

Combine like terms: 7x + 9x = 16x
67 + 16x = 85 + -9x + 9x

Combine like terms: -9x + 9x = 0
67 + 16x = 85 + 0
67 + 16x = 85

Add '-67' to each side of the equation.
67 + -67 + 16x = 85 + -67

Combine like terms: 67 + -67 = 0
0 + 16x = 85 + -67
16x = 85 + -67

Combine like terms: 85 + -67 = 18
16x = 18

Divide each side by '16'.
x = 1.125

Simplifying
x = 1.125

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