Question

1/2(8x+4)=6(x+2) I need help please

Answer 1

x=-5

Explanation:

(8x+4)/2=6x+12

4x+2=6x+12

-2x=10

x=-5

Answer 2

x = -5

Explanation:

Given equation:

`(1)/(2)(8x+4)=6(x+2)`

Multiply both sides of the equation by 2 to eliminate the fraction on the left side:

`\implies 2\cdot(1)/(2)(8x+4)=2\cdot6(x+2)`

`\implies (8x+4)=12(x+2)`

`\implies 8x+4=12(x+2)`

Distribute the right side of the equation:

`\implies 8x+4=12\cdot x+12 \cdot 2`

`\implies 8x+4=12x+24`

Switch sides:

`\implies 12x+24=8x+4`

Subtract 8x from both sides of the equation:

`\implies 12x+24-8x=8x+4-8x`

`\implies 4x+24=4`

Subtract 24 from both sides of the equation:

`\implies 4x+24-24=4-24`

`\implies 4x=-20`

Divide both sides of the equation by 4:

`\implies (4x)/(4)=(-20)/(4)`

`\implies x=-5`

Therefore, the value of x is -5.