Question

1/4(x-2) +4=12
how do i solve thisssss plssss help it’s for tmr

Answer 1

`\bf{(1)/(4)(x-2)+4=12 }`

Use the distributive property to multiply 1/4 times x−2.

`\bf{(1)/(4)x+(1)/(4)(-2)+4=12 }`

Multiply 1/4 and −2 to get -2/4.

`\bf{(1)/(4)x+(-2)/(4)+4=12 }`

Reduce the fraction -2/4 to its minimum expression extracting and canceling 2.

`\bf{(1)/(4)x-(1)/(2)+4=12 }`

Convert 4 to the fraction 8/2.

`\bf{(1)/(4)x-(1)/(2)+(8)/(2) =12 }`

Since -1/2 and 8/2 have the same denominator, add their numerators to add them together.

`\bf{(1)/(4)x+(-1+8)/(2 )=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }`

`\bf{(1)/(4)x+(7)/(2 )=12 }`

Subtract 7/2 from both sides.

`\bf{(1)/(4)x=12-(7)/(2) }`

Convert 12 to the fraction 24/2.

`\bf{(1)/(4)x=(24)/(2)-(7)/(2) }`

Since 24/2 and 7/2 have the same denominator, subtract their numerators to subtract them.

`\bf{(1)/(4)x=(24-7)/(2) \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }`

`\bf{(1)/(4)x=(17)/(2 )`

Multiply both sides by 4, the reciprocal of 1/4.

`\bf{x=(17)/(2)*4 \ \longmapsto \ \ x=(17*4)/(2) \ \ \ [Multiply \ 17 \ and \ 4.] }`

`\bf{x=(68)/(2) \ \ \longmapsto \ \ \ [Split] }`

`\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}`

Skandar

Answer 2

x = 34

Explanation:

1/4(x - 2) + 4 = 12

Subtract 4 from both sides.

1/4(x - 2) = 8

Multiply both sides by 4.

x - 2 = 32

Add 2 to both sides.

x = 34