Question

Use the distributive property to find the value of x.

Answer 1

Answer:

The value of x = 1.5

Step-by-step explanation:

Given:

-1.2(3 – x) = -1.8

To Find:

x = ?

Solution:

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

For example A(B + C) = A×B + A×C

Here we have,

-1.2(3 – x) = -1.8

Applying Distributive property we get ,

-1.2×3 -1.2×-x = -1.8

∴ -3.6 +1.2x = -1.8

∴ $1.2x =3.6-1.8\\\\1.2x=1.8\\\\x=\frac{1.8}{1.2} \\\textrm{multiply numerator and denominator by 10}\\x=\frac{1.8\times 10}{1.2\times 10}\\ \\x=\frac{18}{12} \\\\\\x= 1.5$

∴ x = 1.5

Answer 2

To find x, you need to isolate/get the variable "x" by itself in the equation:

-1.2(3 - x) = -1.8     Distribute -1.2 into (3 - x)

(-1.2)3 + (-1.2)(-x) = -1.8   (two negative signs cancel each other out and become positive)

-3.6 + 1.2x = -1.8          Add 3.6 on both sides

-3.6 + 3.6 + 1.2x = -1.8 + 3.6

1.2x = 1.8      Divide 1.2 on both sides to get "x" by itself

x = 1.5

PROOF

-1.2(3 - x) = -1.8     Substitute/plug in 1.5 into "x" since x = 1.5

-1.2(3 - 1.5) = -1.8

-1.2(1.5) = -1.8

-1.8 = -1.8