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

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


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

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

Combine like terms: 3 + 1 = 4
4 + -3x = 2(x + -3) + -1

Reorder the terms:
4 + -3x = 2(-3 + x) + -1
4 + -3x = (-3 * 2 + x * 2) + -1
4 + -3x = (-6 + 2x) + -1

Reorder the terms:
4 + -3x = -6 + -1 + 2x

Combine like terms: -6 + -1 = -7
4 + -3x = -7 + 2x

Solving
4 + -3x = -7 + 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.
4 + -3x + -2x = -7 + 2x + -2x

Combine like terms: -3x + -2x = -5x
4 + -5x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -5x = -7 + 0
4 + -5x = -7

Add '-4' to each side of the equation.
4 + -4 + -5x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -7 + -4
-5x = -7 + -4

Combine like terms: -7 + -4 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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