2(x+4)-3(x-3)=0

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Solution for 2(x+4)-3(x-3)=0 equation:


Simplifying
2(x + 4) + -3(x + -3) = 0

Reorder the terms:
2(4 + x) + -3(x + -3) = 0
(4 * 2 + x * 2) + -3(x + -3) = 0
(8 + 2x) + -3(x + -3) = 0

Reorder the terms:
8 + 2x + -3(-3 + x) = 0
8 + 2x + (-3 * -3 + x * -3) = 0
8 + 2x + (9 + -3x) = 0

Reorder the terms:
8 + 9 + 2x + -3x = 0

Combine like terms: 8 + 9 = 17
17 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x
17 + -1x = 0

Solving
17 + -1x = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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