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

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


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

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

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

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

Combine like terms: 2 + 3 = 5
5 + 1x + -3x = 3x + -1

Combine like terms: 1x + -3x = -2x
5 + -2x = 3x + -1

Reorder the terms:
5 + -2x = -1 + 3x

Solving
5 + -2x = -1 + 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.
5 + -2x + -3x = -1 + 3x + -3x

Combine like terms: -2x + -3x = -5x
5 + -5x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -5x = -1 + 0
5 + -5x = -1

Add '-5' to each side of the equation.
5 + -5 + -5x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -1 + -5
-5x = -1 + -5

Combine like terms: -1 + -5 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

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