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

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


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

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

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

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

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

Reorder the terms:
-3 + 3x = -1 + 2x + -1x

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

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

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

Combine like terms: 1x + -1x = 0
-3 + 2x = -1 + 0
-3 + 2x = -1

Add '3' to each side of the equation.
-3 + 3 + 2x = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -1 + 3
2x = -1 + 3

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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