3(2x-1)=x-5

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Solution for 3(2x-1)=x-5 equation:


Simplifying
3(2x + -1) = x + -5

Reorder the terms:
3(-1 + 2x) = x + -5
(-1 * 3 + 2x * 3) = x + -5
(-3 + 6x) = x + -5

Reorder the terms:
-3 + 6x = -5 + x

Solving
-3 + 6x = -5 + 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.
-3 + 6x + -1x = -5 + x + -1x

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

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

Add '3' to each side of the equation.
-3 + 3 + 5x = -5 + 3

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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