The sum of x and 10 equals the sum of 2 times x and 12 | MathCelebrity Forum

The sum of x and 10 equals the sum of 2 times x and 12

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The sum of x and 10 equals the sum of 2 times x and 12

The sum of x and 10 means we add 10 to x:
x + 10

2 times x means we multiply x by 2:
2x

the sum of 2 times x and 12 means we add 12 to 2x:
2x + 12

The sum of x and 10 equals the sum of 2 times x and 12:
x + 10 + (2x + 12)

Distribute the parentheses, and we get:
x + 10 + 2x + 12

Group like terms:
(1 + 2)x + 10 + 12
3x + 22
 
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