Question

Help find the value of x
1/2 (-10x + 4) = -4 (-3+2x) +8

Answer 1

x = 6

Explanation:

We know that,

( + ) × ( + ) = ( + )

( - ) × ( - ) = ( + )

( - ) × ( + ) = ( - )

Let us solve it now.

`\sf (1)/(2) (-10x+4)=-4(-3+2x)+8`

Solve the brackets.

`\sf -(10x)/(2) +(4)/(2) =+12-8x+8\\\\\sf -5x +2 =20-8x`

Add 8x to both sides.

`\sf -5x+8x+2=20\\\\3x+2=20`

Subtract 2 from both sides.

`\sf 3x=20-2\\\\3x=18`

Divide both sides by 3.

x = 6

Answer 2

`x=6`

Explanation:

`(1)/(2) (-10x+4)=-4(-3+2x)+8`

To make things easier, let's first start by rewriting
`(1)/(2)` as a decimal:

`.5(-10x+4)=-4(-3+2x)+8`

Distribute
`.5` into
`(-10x+4)`:

`-5x+2=-4(-3+2x)+8`

Distribute
`-4` into
`(-3+2x)`:

`-5x+2=12-8x+8`

Combine like terms:

`-5x+2=20-8x`

Add
`8x` to both sides of the equation:

`3x+2=20`

Subtract
`2` from both sides of the equation:

`3x=18`

Divide both sides of the equation by the coefficient of
`x`, which is
`3`:

`x=6`

_

Check your work by substituting
`6` into the initial equation:

`.5(-10(6)+4)=-4(-3+2(6))+8`

`.5(-60+4)=-4(-3+12)+8`

`-30+2=12-48+8`

`-28=-28`

The answer is correct!