Question

Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.

1. Use the distributive property:



2. Use the subtraction property of equality:

3. Division property of equality:


3(−4x) + 3(5) = 12

−12x + 15 = 12

−12x + 15 − 15 = 12 − 15

−12x = −3

Answer 1

x=
`(1)/(4)`

Explanation:

Or the way you will right it in edg is 1/4

Answer 2

Solving the linear equation
`3(-4x + 5) = 12` we get
`\mathbf{x=(1)/(4)}`

Explanation:

We need to solve to find the value for x in the linear equation:
`3(-4x + 5) = 12`

1. Use the distributive property:

Multiply 3 with terms inside the bracket

`3(-4x + 5) = 12\\3(-4x)+3(5)=12\\-12x+15=12`

2. Use the subtraction property of equality:

Subtracting 15 on both sides

`-12x+15-15=12-15\\-12x=-3`

3. Division property of equality:

Divide both sides by -12

`(-12x)/(-12)=(-3)/(-12)`

`x=(1)/(4)`

So, solving the linear equation
`3(-4x + 5) = 12` we get
`\mathbf{x=(1)/(4)}`