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
∴ [tex]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[/tex]
∴ x = 1.5
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
