5(x-3)+3(3-x)=12

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Solution for 5(x-3)+3(3-x)=12 equation:


Simplifying
5(x + -3) + 3(3 + -1x) = 12

Reorder the terms:
5(-3 + x) + 3(3 + -1x) = 12
(-3 * 5 + x * 5) + 3(3 + -1x) = 12
(-15 + 5x) + 3(3 + -1x) = 12
-15 + 5x + (3 * 3 + -1x * 3) = 12
-15 + 5x + (9 + -3x) = 12

Reorder the terms:
-15 + 9 + 5x + -3x = 12

Combine like terms: -15 + 9 = -6
-6 + 5x + -3x = 12

Combine like terms: 5x + -3x = 2x
-6 + 2x = 12

Solving
-6 + 2x = 12

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 12 + 6
2x = 12 + 6

Combine like terms: 12 + 6 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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