7x+(5-2x)-(4-x)=3-x

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Solution for 7x+(5-2x)-(4-x)=3-x equation:


Simplifying
7x + (5 + -2x) + -1(4 + -1x) = 3 + -1x

Remove parenthesis around (5 + -2x)
7x + 5 + -2x + -1(4 + -1x) = 3 + -1x
7x + 5 + -2x + (4 * -1 + -1x * -1) = 3 + -1x
7x + 5 + -2x + (-4 + 1x) = 3 + -1x

Reorder the terms:
5 + -4 + 7x + -2x + 1x = 3 + -1x

Combine like terms: 5 + -4 = 1
1 + 7x + -2x + 1x = 3 + -1x

Combine like terms: 7x + -2x = 5x
1 + 5x + 1x = 3 + -1x

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

Solving
1 + 6x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 6x + x = 3 + -1x + x

Combine like terms: 6x + x = 7x
1 + 7x = 3 + -1x + x

Combine like terms: -1x + x = 0
1 + 7x = 3 + 0
1 + 7x = 3

Add '-1' to each side of the equation.
1 + -1 + 7x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 3 + -1
7x = 3 + -1

Combine like terms: 3 + -1 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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