2(x-3)+3(x+3)=18

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Solution for 2(x-3)+3(x+3)=18 equation:


Simplifying
2(x + -3) + 3(x + 3) = 18

Reorder the terms:
2(-3 + x) + 3(x + 3) = 18
(-3 * 2 + x * 2) + 3(x + 3) = 18
(-6 + 2x) + 3(x + 3) = 18

Reorder the terms:
-6 + 2x + 3(3 + x) = 18
-6 + 2x + (3 * 3 + x * 3) = 18
-6 + 2x + (9 + 3x) = 18

Reorder the terms:
-6 + 9 + 2x + 3x = 18

Combine like terms: -6 + 9 = 3
3 + 2x + 3x = 18

Combine like terms: 2x + 3x = 5x
3 + 5x = 18

Solving
3 + 5x = 18

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 18 + -3
5x = 18 + -3

Combine like terms: 18 + -3 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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