Question 204233
Solve for x:
In the absence of parentheses in your problem, it's hard to tell whether the problem is:
a) {{{(1/4)x+(5/2)x = 22}}} or
b) {{{1/4x + 5/2x = 22}}}
I will assume that it is a) and proceed from there!
{{{(1/4)x+(5/2)x = 22}}} Multiply through by 4 (the LCD) to clear the fractions.
{{{4(1/4)x + 4(5/2)x = 4(22)}}} Simplify.
{{{x+10x = 88}}} Add the x-terms on the left.
{{{11x = 88}}} Finally, divide both sides by 11.
{{{highlight(x = 8)}}}