2(x+3)+3(x-4)=24

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Solution for 2(x+3)+3(x-4)=24 equation:


Simplifying
2(x + 3) + 3(x + -4) = 24

Reorder the terms:
2(3 + x) + 3(x + -4) = 24
(3 * 2 + x * 2) + 3(x + -4) = 24
(6 + 2x) + 3(x + -4) = 24

Reorder the terms:
6 + 2x + 3(-4 + x) = 24
6 + 2x + (-4 * 3 + x * 3) = 24
6 + 2x + (-12 + 3x) = 24

Reorder the terms:
6 + -12 + 2x + 3x = 24

Combine like terms: 6 + -12 = -6
-6 + 2x + 3x = 24

Combine like terms: 2x + 3x = 5x
-6 + 5x = 24

Solving
-6 + 5x = 24

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 + 5x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 24 + 6
5x = 24 + 6

Combine like terms: 24 + 6 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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