Question

Solve for d.

0.5(7d+4)=7-1.5d0.5(7d+4)=7−1.5d

Answer 1

The value of the equation for d is 1.

Explanation:

Consider the provide equation.

`0.5(7d+4)=7-1.5d`

We need to solve the equation for d.

Open the parentheses.

`3.5d+2=7-1.5d`

Add 1.5d both sides.

`3.5d+1.5d+2=7-1.5d+1.5d`

`5d+2=7`

Subtract 2 from both sides.

`5d+2-2=7-2`

`5d=5`

Divide both the sides by 5.

`d=1`

Hence, the value of the equation for d is 1.

Answer 2

`d=1`

EXPLANATION

We want to solve

`0.5(7d+4)=7-1.5d`

Let us first multiply through by
`10` to clear the decimal.

`10* 0.5(7d+4)=7* 10 -1.5d* 10`

This implies that;

`5(7d+4)=70 -15d`

We now expand to obtain;

`35d+20=70 -15d`

We group like terms to obtain;

`35d+15d=70 -20`

`50d=50`

Dividing through by 50 gives;

`d=1`