Question

What is the solution to 8x minus 3(2x minus 4) = 3(x minus 6)

Answer 1

x = 30.

Explanation:

8x - 3(2x - 4) = 3(x - 6)

8x - 3*2x + - 3*-4 = 3*x + 3 * -6

8x - 6x + 12 = 3x - 18

2x + 12 = 3x - 18

2x - 3x + 12 = 3x - 3x - 18

-x + 12 = -18

-x + 12 - 12 = -18 - 12

-x = -33

-x/-1 = -30/-1

x = 30.

Answer 2

`x=30`

Explanation:

`8x-3\left(2x-4\right)=3\left(x-6\right)`

First, we will expand
`-3\left(2x-4\right)` by applying the distributive property:

`-3* \:2x-\left(-3\right)* \:4`

**
`-\left(-a\right)=a`

`-6x+12`

`8x-6x+12=3\left(x-6\right)`

Expand,
`3\left(x-6\right):`

`3x-3* \:6`

`3x-18`

`2x+12=3x-18`

Subtract 12 from both sides:

`2x+12-12=3x-18-12`

`2x=3x-30`

Subtract 3x from both sides:

`2x-3x=3x-30-3x`

`-x=-30`

Divide both sides by -1:

`(-x)/(-1)=(-30)/(-1)`

`x=30`

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