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

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


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

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

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

Combine like terms: -2 + -8 = -10
-10 + 2x = 9 + -3(x + 1)

Reorder the terms:
-10 + 2x = 9 + -3(1 + x)
-10 + 2x = 9 + (1 * -3 + x * -3)
-10 + 2x = 9 + (-3 + -3x)

Combine like terms: 9 + -3 = 6
-10 + 2x = 6 + -3x

Solving
-10 + 2x = 6 + -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.
-10 + 2x + 3x = 6 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-10 + 5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 5x = 6 + 0
-10 + 5x = 6

Add '10' to each side of the equation.
-10 + 10 + 5x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 6 + 10
5x = 6 + 10

Combine like terms: 6 + 10 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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