Question

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

Answer 1

34.

Explanation:

`\rm(1)/(4)(x - 2) + 4 = 12 \\ \\ \rm (1)/(4)(x - 2) = 12 - 4 \\ \\ \rm(1)/(4)(x - 2) = 8 \\ \\ \rm x - 2 = 8 * 4 \\ \\ \rm x - 2 = 32 \\ \\ \rm x = 32 + 2 \\ \\ \rm x = 34`

Verification:

`\rm(1)/(4)(x - 2) + 4 = 12`

Substitute the value of x,

`\rm (1)/(4)(34 - 2) + 4 = 12 \\ \\ \rm(1)/(4)(32 ) + 4 = 12 \\ \\ \rm8 + 4 = 12 \\ \\ \rm12 = 12`

Hence verified.

Therefore the Value of x is 34.