5x-6=4(x-1)-x

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Solution for 5x-6=4(x-1)-x equation:


Simplifying
5x + -6 = 4(x + -1) + -1x

Reorder the terms:
-6 + 5x = 4(x + -1) + -1x

Reorder the terms:
-6 + 5x = 4(-1 + x) + -1x
-6 + 5x = (-1 * 4 + x * 4) + -1x
-6 + 5x = (-4 + 4x) + -1x

Combine like terms: 4x + -1x = 3x
-6 + 5x = -4 + 3x

Solving
-6 + 5x = -4 + 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 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-6 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 2x = -4 + 0
-6 + 2x = -4

Add '6' to each side of the equation.
-6 + 6 + 2x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -4 + 6
2x = -4 + 6

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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