9+3(x-8)=1-7(x-9)

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Solution for 9+3(x-8)=1-7(x-9) equation: 


Simplifying
9 + 3(x + -8) = 1 + -7(x + -9)

Reorder the terms:
9 + 3(-8 + x) = 1 + -7(x + -9)
9 + (-8 * 3 + x * 3) = 1 + -7(x + -9)
9 + (-24 + 3x) = 1 + -7(x + -9)

Combine like terms: 9 + -24 = -15
-15 + 3x = 1 + -7(x + -9)

Reorder the terms:
-15 + 3x = 1 + -7(-9 + x)
-15 + 3x = 1 + (-9 * -7 + x * -7)
-15 + 3x = 1 + (63 + -7x)

Combine like terms: 1 + 63 = 64
-15 + 3x = 64 + -7x

Solving
-15 + 3x = 64 + -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.
-15 + 3x + 7x = 64 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-15 + 10x = 64 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 10x = 64 + 0
-15 + 10x = 64

Add '15' to each side of the equation.
-15 + 15 + 10x = 64 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 64 + 15
10x = 64 + 15

Combine like terms: 64 + 15 = 79
10x = 79

Divide each side by '10'.
x = 7.9

Simplifying
x = 7.9

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