9+9(x-8)=10-3(x-6)

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Solution for 9+9(x-8)=10-3(x-6) equation:


Simplifying
9 + 9(x + -8) = 10 + -3(x + -6)

Reorder the terms:
9 + 9(-8 + x) = 10 + -3(x + -6)
9 + (-8 * 9 + x * 9) = 10 + -3(x + -6)
9 + (-72 + 9x) = 10 + -3(x + -6)

Combine like terms: 9 + -72 = -63
-63 + 9x = 10 + -3(x + -6)

Reorder the terms:
-63 + 9x = 10 + -3(-6 + x)
-63 + 9x = 10 + (-6 * -3 + x * -3)
-63 + 9x = 10 + (18 + -3x)

Combine like terms: 10 + 18 = 28
-63 + 9x = 28 + -3x

Solving
-63 + 9x = 28 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-63 + 9x + 3x = 28 + -3x + 3x

Combine like terms: 9x + 3x = 12x
-63 + 12x = 28 + -3x + 3x

Combine like terms: -3x + 3x = 0
-63 + 12x = 28 + 0
-63 + 12x = 28

Add '63' to each side of the equation.
-63 + 63 + 12x = 28 + 63

Combine like terms: -63 + 63 = 0
0 + 12x = 28 + 63
12x = 28 + 63

Combine like terms: 28 + 63 = 91
12x = 91

Divide each side by '12'.
x = 7.583333333

Simplifying
x = 7.583333333

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