James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3. Write an equation that can be used to solve for Zach's age in the box below, use Z as the variable.

The equation is 3x + 24 = 6x

Step-by-step explanation:

Let

Zach's age = x

If Zach added 8 to his age and multiplied this sum by 3.

Zach = 3(x + 8)

= 3x + 24

James = 6x

Zach's age = James's age

3x + 24 = 6x

Collect like terms

24 = 6x - 3x

24 = 3x

Divide both sides by 3

x = 24/3

= 8

x = 8

Check

Zach = 3(x + 8)

= 3(8+8)

= 3(16)

= 48 years

James = 6x

= 6(8)

= 48 years

The equation is 3x + 24 = 6x

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!