Solve for x
x\leq 6
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\frac{2}{3}x+5-\frac{1}{2}x\leq 6
Subtract \frac{1}{2}x from both sides.
\frac{1}{6}x+5\leq 6
Combine \frac{2}{3}x and -\frac{1}{2}x to get \frac{1}{6}x.
\frac{1}{6}x\leq 6-5
Subtract 5 from both sides.
\frac{1}{6}x\leq 1
Subtract 5 from 6 to get 1.
x\leq 1\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}. Since \frac{1}{6} is positive, the inequality direction remains the same.
x\leq 6
Multiply 1 and 6 to get 6.
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