4x-6=2(x-1)+x

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Solution for 4x-6=2(x-1)+x equation:


Simplifying
4x + -6 = 2(x + -1) + x

Reorder the terms:
-6 + 4x = 2(x + -1) + x

Reorder the terms:
-6 + 4x = 2(-1 + x) + x
-6 + 4x = (-1 * 2 + x * 2) + x
-6 + 4x = (-2 + 2x) + x

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

Solving
-6 + 4x = -2 + 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 + 4x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-6 + 1x = -2 + 0
-6 + 1x = -2

Add '6' to each side of the equation.
-6 + 6 + 1x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -2 + 6
1x = -2 + 6

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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