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

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


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

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

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

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

Combine like terms: 2x + -1x = 1x
-1 + 3x = 8 + 1x

Solving
-1 + 3x = 8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 3x + -1x = 8 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-1 + 2x = 8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 2x = 8 + 0
-1 + 2x = 8

Add '1' to each side of the equation.
-1 + 1 + 2x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 8 + 1
2x = 8 + 1

Combine like terms: 8 + 1 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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