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

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


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

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

Combine like terms: 2 + 5 = 7
7 + -1x = 3 + (x + 1)

Reorder the terms:
7 + -1x = 3 + (1 + x)

Remove parenthesis around (1 + x)
7 + -1x = 3 + 1 + x

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

Solving
7 + -1x = 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.
7 + -1x + -1x = 4 + x + -1x

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

Combine like terms: x + -1x = 0
7 + -2x = 4 + 0
7 + -2x = 4

Add '-7' to each side of the equation.
7 + -7 + -2x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 4 + -7
-2x = 4 + -7

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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