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

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


Simplifying
2(x + -2) + 3(3 + -1x) = 0

Reorder the terms:
2(-2 + x) + 3(3 + -1x) = 0
(-2 * 2 + x * 2) + 3(3 + -1x) = 0
(-4 + 2x) + 3(3 + -1x) = 0
-4 + 2x + (3 * 3 + -1x * 3) = 0
-4 + 2x + (9 + -3x) = 0

Reorder the terms:
-4 + 9 + 2x + -3x = 0

Combine like terms: -4 + 9 = 5
5 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
5 + -1x = 0

Solving
5 + -1x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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