x+20-(10-x)=24

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Solution for x+20-(10-x)=24 equation:


Simplifying
x + 20 + -1(10 + -1x) = 24
x + 20 + (10 * -1 + -1x * -1) = 24
x + 20 + (-10 + 1x) = 24

Reorder the terms:
20 + -10 + x + 1x = 24

Combine like terms: 20 + -10 = 10
10 + x + 1x = 24

Combine like terms: x + 1x = 2x
10 + 2x = 24

Solving
10 + 2x = 24

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 24 + -10
2x = 24 + -10

Combine like terms: 24 + -10 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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