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

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


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

Reorder the terms:
3 + -2(-3 + x) = 5 + (x + 2)
3 + (-3 * -2 + x * -2) = 5 + (x + 2)
3 + (6 + -2x) = 5 + (x + 2)

Combine like terms: 3 + 6 = 9
9 + -2x = 5 + (x + 2)

Reorder the terms:
9 + -2x = 5 + (2 + x)

Remove parenthesis around (2 + x)
9 + -2x = 5 + 2 + x

Combine like terms: 5 + 2 = 7
9 + -2x = 7 + x

Solving
9 + -2x = 7 + 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.
9 + -2x + -1x = 7 + x + -1x

Combine like terms: -2x + -1x = -3x
9 + -3x = 7 + x + -1x

Combine like terms: x + -1x = 0
9 + -3x = 7 + 0
9 + -3x = 7

Add '-9' to each side of the equation.
9 + -9 + -3x = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 7 + -9
-3x = 7 + -9

Combine like terms: 7 + -9 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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