9(x+7)+4=-9(x-2)-6

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Solution for 9(x+7)+4=-9(x-2)-6 equation:


Simplifying
9(x + 7) + 4 = -9(x + -2) + -6

Reorder the terms:
9(7 + x) + 4 = -9(x + -2) + -6
(7 * 9 + x * 9) + 4 = -9(x + -2) + -6
(63 + 9x) + 4 = -9(x + -2) + -6

Reorder the terms:
63 + 4 + 9x = -9(x + -2) + -6

Combine like terms: 63 + 4 = 67
67 + 9x = -9(x + -2) + -6

Reorder the terms:
67 + 9x = -9(-2 + x) + -6
67 + 9x = (-2 * -9 + x * -9) + -6
67 + 9x = (18 + -9x) + -6

Reorder the terms:
67 + 9x = 18 + -6 + -9x

Combine like terms: 18 + -6 = 12
67 + 9x = 12 + -9x

Solving
67 + 9x = 12 + -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 + 9x + 9x = 12 + -9x + 9x

Combine like terms: 9x + 9x = 18x
67 + 18x = 12 + -9x + 9x

Combine like terms: -9x + 9x = 0
67 + 18x = 12 + 0
67 + 18x = 12

Add '-67' to each side of the equation.
67 + -67 + 18x = 12 + -67

Combine like terms: 67 + -67 = 0
0 + 18x = 12 + -67
18x = 12 + -67

Combine like terms: 12 + -67 = -55
18x = -55

Divide each side by '18'.
x = -3.055555556

Simplifying
x = -3.055555556

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