(x+3)-2=6-2(x+1)

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Solution for (x+3)-2=6-2(x+1) equation:


Simplifying
(x + 3) + -2 = 6 + -2(x + 1)

Reorder the terms:
(3 + x) + -2 = 6 + -2(x + 1)

Remove parenthesis around (3 + x)
3 + x + -2 = 6 + -2(x + 1)

Reorder the terms:
3 + -2 + x = 6 + -2(x + 1)

Combine like terms: 3 + -2 = 1
1 + x = 6 + -2(x + 1)

Reorder the terms:
1 + x = 6 + -2(1 + x)
1 + x = 6 + (1 * -2 + x * -2)
1 + x = 6 + (-2 + -2x)

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

Solving
1 + x = 4 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
1 + 3x = 4 + 0
1 + 3x = 4

Add '-1' to each side of the equation.
1 + -1 + 3x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 4 + -1
3x = 4 + -1

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

Divide each side by '3'.
x = 1

Simplifying
x = 1

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