7x-x=4x-(x-1)

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Solution for 7x-x=4x-(x-1) equation:


Simplifying
7x + -1x = 4x + -1(x + -1)

Combine like terms: 7x + -1x = 6x
6x = 4x + -1(x + -1)

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

Reorder the terms:
6x = 1 + 4x + -1x

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

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

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

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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