If 5m + 12 = 2m + 27, what is the value of m? — Armed Services Vocational Aptitude Battery (ASVAB)

If $5m + 12 = 2m + 27$ , what is the value of $m$ ?

Answer: 5

The correct value of the variable is 5.

By using inverse operations to collect the variable terms on one side and the constant terms on the other, the equation simplifies to

3m = 15

, which directly yields a result of

5

Move all terms containing the variable to one side of the equation.

3m + 12 = 27

Subtracting

2m

from both sides eliminates the variable from the right side and groups it on the left.

Move all constant terms to the opposite side of the equation.

3m = 15

Subtracting

12

from both sides isolates the term containing the variable.

Solve for the variable.

m = 5

Dividing both sides by the coefficient

3

provides the final value of

m

Solving Linear Equations with Variables on Both Sides

Estimated Time:45s

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