2(x-3)=1-3x

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


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

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

Solving
-6 + 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.
-6 + 2x + 3x = 1 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 5x = 1 + 0
-6 + 5x = 1

Add '6' to each side of the equation.
-6 + 6 + 5x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 1 + 6
5x = 1 + 6

Combine like terms: 1 + 6 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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