Question

Solve for x
1/2 x + 2 = x - 1/4

Answer 1

Answer: $x=9/2$

Simplify both sides of the equation

$1/2x+2=x+-1/4$

Subtract x from both sides

$1/2x+2-x=x+-1/4-x\\-1/2x+2=-1/4$

Subtract 2 from both sides

$-1/2x+2-2=-1/4-2\\-1/2x=-9/4$

Multiply both sides by 2/(-1)

$(2/-1)*(-1/2x)=(2/-1)*(-9/4)\\x=9/2$