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

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


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

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

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

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

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

Solving
2 + 1x = -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.
2 + 1x + -2x = -4 + 2x + -2x

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

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

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

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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