3x-(2x-5)-(5-x)=8-(4-x)

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Solution for 3x-(2x-5)-(5-x)=8-(4-x) equation:


Simplifying
3x + -1(2x + -5) + -1(5 + -1x) = 8 + -1(4 + -1x)

Reorder the terms:
3x + -1(-5 + 2x) + -1(5 + -1x) = 8 + -1(4 + -1x)
3x + (-5 * -1 + 2x * -1) + -1(5 + -1x) = 8 + -1(4 + -1x)
3x + (5 + -2x) + -1(5 + -1x) = 8 + -1(4 + -1x)
3x + 5 + -2x + (5 * -1 + -1x * -1) = 8 + -1(4 + -1x)
3x + 5 + -2x + (-5 + 1x) = 8 + -1(4 + -1x)

Reorder the terms:
5 + -5 + 3x + -2x + 1x = 8 + -1(4 + -1x)

Combine like terms: 5 + -5 = 0
0 + 3x + -2x + 1x = 8 + -1(4 + -1x)
3x + -2x + 1x = 8 + -1(4 + -1x)

Combine like terms: 3x + -2x = 1x
1x + 1x = 8 + -1(4 + -1x)

Combine like terms: 1x + 1x = 2x
2x = 8 + -1(4 + -1x)
2x = 8 + (4 * -1 + -1x * -1)
2x = 8 + (-4 + 1x)

Combine like terms: 8 + -4 = 4
2x = 4 + 1x

Solving
2x = 4 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2x + -1x = 4 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
1x = 4 + 0
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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