2+9(x-3)=1-9(x-8)

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Solution for 2+9(x-3)=1-9(x-8) equation:


Simplifying
2 + 9(x + -3) = 1 + -9(x + -8)

Reorder the terms:
2 + 9(-3 + x) = 1 + -9(x + -8)
2 + (-3 * 9 + x * 9) = 1 + -9(x + -8)
2 + (-27 + 9x) = 1 + -9(x + -8)

Combine like terms: 2 + -27 = -25
-25 + 9x = 1 + -9(x + -8)

Reorder the terms:
-25 + 9x = 1 + -9(-8 + x)
-25 + 9x = 1 + (-8 * -9 + x * -9)
-25 + 9x = 1 + (72 + -9x)

Combine like terms: 1 + 72 = 73
-25 + 9x = 73 + -9x

Solving
-25 + 9x = 73 + -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.
-25 + 9x + 9x = 73 + -9x + 9x

Combine like terms: 9x + 9x = 18x
-25 + 18x = 73 + -9x + 9x

Combine like terms: -9x + 9x = 0
-25 + 18x = 73 + 0
-25 + 18x = 73

Add '25' to each side of the equation.
-25 + 25 + 18x = 73 + 25

Combine like terms: -25 + 25 = 0
0 + 18x = 73 + 25
18x = 73 + 25

Combine like terms: 73 + 25 = 98
18x = 98

Divide each side by '18'.
x = 5.444444444

Simplifying
x = 5.444444444

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