Question

Use the distributive property to find the value of x.

-1.2(3 – x) = -1.8

-3.6 + 1.2x = -1.8

  1.2x = 1.8

x =

Answer 1

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

Answer 2

The value of x = 1.5

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=(1.8)/(1.2) \\\textrm{multiply numerator and denominator by 10}\\x=(1.8* 10)/(1.2* 10)\\ \\x=(18)/(12) \\\\\\x= 1.5`

∴ x = 1.5