Question

0.5(2a + 3) = 0.5a-3​

Answer 1

Step-by-step explanation:

Simplifying

0.5a + -3 = 0.3(2a + -3)

Reorder the terms:

-3 + 0.5a = 0.3(2a + -3)

Reorder the terms:

-3 + 0.5a = 0.3(-3 + 2a)

-3 + 0.5a = (-3 * 0.3 + 2a * 0.3)

-3 + 0.5a = (-0.9 + 0.6a)

Solving

-3 + 0.5a = -0.9 + 0.6a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-0.6a' to each side of the equation.

-3 + 0.5a + -0.6a = -0.9 + 0.6a + -0.6a

Combine like terms: 0.5a + -0.6a = -0.1a

-3 + -0.1a = -0.9 + 0.6a + -0.6a

Combine like terms: 0.6a + -0.6a = 0.0

-3 + -0.1a = -0.9 + 0.0

-3 + -0.1a = -0.9

Add '3' to each side of the equation.

-3 + 3 + -0.1a = -0.9 + 3

Combine like terms: -3 + 3 = 0

0 + -0.1a = -0.9 + 3

-0.1a = -0.9 + 3

Combine like terms: -0.9 + 3 = 2.1

-0.1a = 2.1

Divide each side by '-0.1'.

a = -21

Simplifying

a = -21

Answer 2

Answer:

The value of a is - 9.

Step-by-step-explanation:

We have given a linear equation in variable a.

We have to find the value of a.

Now,

0.5 ( 2a + 3 ) = 0.5 a - 3

By multiplying both sides by 2, we get,

⇒ 2 [ 0.5 ( 2a + 3 ) ] = 2 ( 0.5 a - 3 )

⇒ 2 * ( 0.5 * 2a + 0.5 * 3 ) = 2 * 0.5 a - 2 * 3

⇒ 2 * ( a + 1.5 ) = a - 6

⇒ 2 * a + 2 * 1.5 = a - 6

⇒ 2a + 3 = a - 6

⇒ 2a - a = - 6 - 3

⇒ a = - 9

∴ The value of a is - 9.