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

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


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

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

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

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

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

Reorder the terms:
3 + 1x = -9 + -1 + 3x

Combine like terms: -9 + -1 = -10
3 + 1x = -10 + 3x

Solving
3 + 1x = -10 + 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.
3 + 1x + -3x = -10 + 3x + -3x

Combine like terms: 1x + -3x = -2x
3 + -2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -2x = -10 + 0
3 + -2x = -10

Add '-3' to each side of the equation.
3 + -3 + -2x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -10 + -3
-2x = -10 + -3

Combine like terms: -10 + -3 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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