4-(2x-3)=(x+1)

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Solution for 4-(2x-3)=(x+1) equation:


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

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

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

Reorder the terms:
7 + -2x = (1 + x)

Remove parenthesis around (1 + x)
7 + -2x = 1 + x

Solving
7 + -2x = 1 + 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.
7 + -2x + -1x = 1 + x + -1x

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

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

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

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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