(4x-1)+(2x-1)=x*5

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Solution for (4x-1)+(2x-1)=x*5 equation:


Simplifying
(4x + -1) + (2x + -1) = x * 5

Reorder the terms:
(-1 + 4x) + (2x + -1) = x * 5

Remove parenthesis around (-1 + 4x)
-1 + 4x + (2x + -1) = x * 5

Reorder the terms:
-1 + 4x + (-1 + 2x) = x * 5

Remove parenthesis around (-1 + 2x)
-1 + 4x + -1 + 2x = x * 5

Reorder the terms:
-1 + -1 + 4x + 2x = x * 5

Combine like terms: -1 + -1 = -2
-2 + 4x + 2x = x * 5

Combine like terms: 4x + 2x = 6x
-2 + 6x = x * 5

Reorder the terms for easier multiplication:
-2 + 6x = 5x

Solving
-2 + 6x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 6x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
-2 + 1x = 0

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

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

Combine like terms: 0 + 2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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