9+3(x-1)=8-2(x-6)

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Solution for 9+3(x-1)=8-2(x-6) equation: 


Simplifying
9 + 3(x + -1) = 8 + -2(x + -6)

Reorder the terms:
9 + 3(-1 + x) = 8 + -2(x + -6)
9 + (-1 * 3 + x * 3) = 8 + -2(x + -6)
9 + (-3 + 3x) = 8 + -2(x + -6)

Combine like terms: 9 + -3 = 6
6 + 3x = 8 + -2(x + -6)

Reorder the terms:
6 + 3x = 8 + -2(-6 + x)
6 + 3x = 8 + (-6 * -2 + x * -2)
6 + 3x = 8 + (12 + -2x)

Combine like terms: 8 + 12 = 20
6 + 3x = 20 + -2x

Solving
6 + 3x = 20 + -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.
6 + 3x + 2x = 20 + -2x + 2x

Combine like terms: 3x + 2x = 5x
6 + 5x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 5x = 20 + 0
6 + 5x = 20

Add '-6' to each side of the equation.
6 + -6 + 5x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 20 + -6
5x = 20 + -6

Combine like terms: 20 + -6 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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