9-12(x+5)=16+7(x+8)

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Solution for 9-12(x+5)=16+7(x+8) equation:


Simplifying
9 + -12(x + 5) = 16 + 7(x + 8)

Reorder the terms:
9 + -12(5 + x) = 16 + 7(x + 8)
9 + (5 * -12 + x * -12) = 16 + 7(x + 8)
9 + (-60 + -12x) = 16 + 7(x + 8)

Combine like terms: 9 + -60 = -51
-51 + -12x = 16 + 7(x + 8)

Reorder the terms:
-51 + -12x = 16 + 7(8 + x)
-51 + -12x = 16 + (8 * 7 + x * 7)
-51 + -12x = 16 + (56 + 7x)

Combine like terms: 16 + 56 = 72
-51 + -12x = 72 + 7x

Solving
-51 + -12x = 72 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-51 + -12x + -7x = 72 + 7x + -7x

Combine like terms: -12x + -7x = -19x
-51 + -19x = 72 + 7x + -7x

Combine like terms: 7x + -7x = 0
-51 + -19x = 72 + 0
-51 + -19x = 72

Add '51' to each side of the equation.
-51 + 51 + -19x = 72 + 51

Combine like terms: -51 + 51 = 0
0 + -19x = 72 + 51
-19x = 72 + 51

Combine like terms: 72 + 51 = 123
-19x = 123

Divide each side by '-19'.
x = -6.473684211

Simplifying
x = -6.473684211

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