Solve for x
x=40
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6x-40+50+2x+30+\frac{5}{2}x+2x=540
Combine 4x and 2x to get 6x.
6x+10+2x+30+\frac{5}{2}x+2x=540
Add -40 and 50 to get 10.
8x+10+30+\frac{5}{2}x+2x=540
Combine 6x and 2x to get 8x.
8x+40+\frac{5}{2}x+2x=540
Add 10 and 30 to get 40.
\frac{21}{2}x+40+2x=540
Combine 8x and \frac{5}{2}x to get \frac{21}{2}x.
\frac{25}{2}x+40=540
Combine \frac{21}{2}x and 2x to get \frac{25}{2}x.
\frac{25}{2}x=540-40
Subtract 40 from both sides.
\frac{25}{2}x=500
Subtract 40 from 540 to get 500.
x=500\times \frac{2}{25}
Multiply both sides by \frac{2}{25}, the reciprocal of \frac{25}{2}.
x=\frac{500\times 2}{25}
Express 500\times \frac{2}{25} as a single fraction.
x=\frac{1000}{25}
Multiply 500 and 2 to get 1000.
x=40
Divide 1000 by 25 to get 40.
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