3(3x-4)=2-(x-8)

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Solution for 3(3x-4)=2-(x-8) equation:


Simplifying
3(3x + -4) = 2 + -1(x + -8)

Reorder the terms:
3(-4 + 3x) = 2 + -1(x + -8)
(-4 * 3 + 3x * 3) = 2 + -1(x + -8)
(-12 + 9x) = 2 + -1(x + -8)

Reorder the terms:
-12 + 9x = 2 + -1(-8 + x)
-12 + 9x = 2 + (-8 * -1 + x * -1)
-12 + 9x = 2 + (8 + -1x)

Combine like terms: 2 + 8 = 10
-12 + 9x = 10 + -1x

Solving
-12 + 9x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 9x + x = 10 + -1x + x

Combine like terms: 9x + x = 10x
-12 + 10x = 10 + -1x + x

Combine like terms: -1x + x = 0
-12 + 10x = 10 + 0
-12 + 10x = 10

Add '12' to each side of the equation.
-12 + 12 + 10x = 10 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 10 + 12
10x = 10 + 12

Combine like terms: 10 + 12 = 22
10x = 22

Divide each side by '10'.
x = 2.2

Simplifying
x = 2.2

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