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

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


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

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

Remove parenthesis around (-3 + 2x)
-3 + 2x + -1(x + 1) = 1

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

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

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

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

Solving
-4 + 1x = 1

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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