Question

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Answer 1

Hello!

Step 1: Simplify both sides of the equation.
1.5(x+4)−3=4.5(x−2)

(1.5)(x)+(1.5)(4)+−3=(4.5)(x)+(4.5)(−2)(Distribute)

1.5x+6+−3=4.5x+−9

(1.5x)+(6+−3)=4.5x−9(Combine Like Terms)

1.5x+3=4.5x−9
Step 2: Subtract 4.5x from both sides.

1.5x+3−4.5x=4.5x−9−4.5x

−3x+3=−9

Step 3: Subtract 3 from both sides.

−3x+3−3=−9−3

−3x=−12

Step 4: Divide both sides by -3.

−3x−3=−12−3

x=4

Hope this helps! Cheerio, and have a lovely day!

Answer 2

Hello!

1.5(x + 4) - 3 = 4.5(x - 2)

Distribute the 1.5

1.5x + 6 - 3 = 4.5(x - 2)

Distribute the 4.5

1.5x + 6 - 3 = 4.5x - 9

Combine like terms

1.5x + 3 = 4.5x - 9

Subtract 1.5x from both sides

3 = 3x - 9

Add 9 to both sides

12 = 3x

Divide both sides by 3

4 = x

The answer is 4

Hope this helps!