(2x-3)+(x+6)=24

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Solution for (2x-3)+(x+6)=24 equation:


Simplifying
(2x + -3) + (x + 6) = 24

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

Remove parenthesis around (-3 + 2x)
-3 + 2x + (x + 6) = 24

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

Remove parenthesis around (6 + x)
-3 + 2x + 6 + x = 24

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

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

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

Solving
3 + 3x = 24

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 + 3x = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 24 + -3
3x = 24 + -3

Combine like terms: 24 + -3 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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