3(2x-1)-x=6(x-1)-5

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Solution for 3(2x-1)-x=6(x-1)-5 equation:


Simplifying
3(2x + -1) + -1x = 6(x + -1) + -5

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

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

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

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

Combine like terms: -6 + -5 = -11
-3 + 5x = -11 + 6x

Solving
-3 + 5x = -11 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-3 + 5x + -6x = -11 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-3 + -1x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -1x = -11 + 0
-3 + -1x = -11

Add '3' to each side of the equation.
-3 + 3 + -1x = -11 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -11 + 3
-1x = -11 + 3

Combine like terms: -11 + 3 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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