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

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


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

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

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

Solving
2 + 1x = -6 + 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 = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + -1x = -6 + 0
2 + -1x = -6

Add '-2' to each side of the equation.
2 + -2 + -1x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -6 + -2
-1x = -6 + -2

Combine like terms: -6 + -2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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