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

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


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

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

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

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

Solving
4 + -6x = 2 + x

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.
4 + -6x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
4 + -7x = 2 + 0
4 + -7x = 2

Add '-4' to each side of the equation.
4 + -4 + -7x = 2 + -4

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

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

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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