5x-(3x+2)=5+(x-1)

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Solution for 5x-(3x+2)=5+(x-1) equation:


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

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

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

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

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

Remove parenthesis around (-1 + x)
-2 + 2x = 5 + -1 + x

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

Solving
-2 + 2x = 4 + x

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.
-2 + 2x + -1x = 4 + x + -1x

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

Combine like terms: x + -1x = 0
-2 + 1x = 4 + 0
-2 + 1x = 4

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

Combine like terms: -2 + 2 = 0
0 + 1x = 4 + 2
1x = 4 + 2

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

Divide each side by '1'.
x = 6

Simplifying
x = 6

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