If 2.5(x - 4) = 15, what is the value of x? — ACT

If $2.5(x - 4) = 15$ , what is the value of $x$ ?

Answer: 10

The value of

x

10

To solve the equation

2.5(x - 4) = 15

, divide both sides by

2.5

to obtain

x - 4 = 6

. Then, add

4

to both sides to get the final solution of

x = 10

. Alternatively, distribute

2.5

to get

2.5x - 10 = 15

, add

10

to both sides to get

2.5x = 25

, and divide by

2.5

to get

x = 10

Divide both sides of the equation by

2.5

x - 4 = 6

To isolate the parenthetical term on the left side of the equation.

Add

4

to both sides of the equation.

x = 10

To isolate the variable

x

Solving multi-step linear equations using inverse operations.

Distribute

2.5

to get

2.5x - 10 = 15

. Add

10

to both sides of the equation to get

2.5x = 25

. Divide both sides by

2.5

to find

x = 10

Estimated Time:45s

Question