9(x-6)-2(x+5)=-2(x-6)

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Solution for 9(x-6)-2(x+5)=-2(x-6) equation:


Simplifying
9(x + -6) + -2(x + 5) = -2(x + -6)

Reorder the terms:
9(-6 + x) + -2(x + 5) = -2(x + -6)
(-6 * 9 + x * 9) + -2(x + 5) = -2(x + -6)
(-54 + 9x) + -2(x + 5) = -2(x + -6)

Reorder the terms:
-54 + 9x + -2(5 + x) = -2(x + -6)
-54 + 9x + (5 * -2 + x * -2) = -2(x + -6)
-54 + 9x + (-10 + -2x) = -2(x + -6)

Reorder the terms:
-54 + -10 + 9x + -2x = -2(x + -6)

Combine like terms: -54 + -10 = -64
-64 + 9x + -2x = -2(x + -6)

Combine like terms: 9x + -2x = 7x
-64 + 7x = -2(x + -6)

Reorder the terms:
-64 + 7x = -2(-6 + x)
-64 + 7x = (-6 * -2 + x * -2)
-64 + 7x = (12 + -2x)

Solving
-64 + 7x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-64 + 7x + 2x = 12 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-64 + 9x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-64 + 9x = 12 + 0
-64 + 9x = 12

Add '64' to each side of the equation.
-64 + 64 + 9x = 12 + 64

Combine like terms: -64 + 64 = 0
0 + 9x = 12 + 64
9x = 12 + 64

Combine like terms: 12 + 64 = 76
9x = 76

Divide each side by '9'.
x = 8.444444444

Simplifying
x = 8.444444444

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