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

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


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

Reorder the terms:
2(-4 + x) + 3(x + 4) = 24
(-4 * 2 + x * 2) + 3(x + 4) = 24
(-8 + 2x) + 3(x + 4) = 24

Reorder the terms:
-8 + 2x + 3(4 + x) = 24
-8 + 2x + (4 * 3 + x * 3) = 24
-8 + 2x + (12 + 3x) = 24

Reorder the terms:
-8 + 12 + 2x + 3x = 24

Combine like terms: -8 + 12 = 4
4 + 2x + 3x = 24

Combine like terms: 2x + 3x = 5x
4 + 5x = 24

Solving
4 + 5x = 24

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 24 + -4
5x = 24 + -4

Combine like terms: 24 + -4 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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