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

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


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

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

Combine like terms: 2 + -5 = -3
-3 + -1x = 3(3 + -1x)
-3 + -1x = (3 * 3 + -1x * 3)
-3 + -1x = (9 + -3x)

Solving
-3 + -1x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-3 + -1x + 3x = 9 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-3 + 2x = 9 + 0
-3 + 2x = 9

Add '3' to each side of the equation.
-3 + 3 + 2x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 9 + 3
2x = 9 + 3

Combine like terms: 9 + 3 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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