Solve for x
x=30
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\frac{2\times 5+4}{5}x-50=51\times \frac{2}{3}
Multiply both sides by \frac{2}{3}.
3\left(2\times 5+4\right)x-750=765\times \frac{2}{3}
Multiply both sides of the equation by 15, the least common multiple of 5,3.
3\left(10+4\right)x-750=765\times \frac{2}{3}
Multiply 2 and 5 to get 10.
3\times 14x-750=765\times \frac{2}{3}
Add 10 and 4 to get 14.
42x-750=765\times \frac{2}{3}
Multiply 3 and 14 to get 42.
42x-750=\frac{765\times 2}{3}
Express 765\times \frac{2}{3} as a single fraction.
42x-750=\frac{1530}{3}
Multiply 765 and 2 to get 1530.
42x-750=510
Divide 1530 by 3 to get 510.
42x=510+750
Add 750 to both sides.
42x=1260
Add 510 and 750 to get 1260.
x=\frac{1260}{42}
Divide both sides by 42.
x=30
Divide 1260 by 42 to get 30.
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