Solve 36/60+82-x/28=x/10

$$\frac { 36 } { 60 } + \frac { 82 - x } { 28 } = \frac { x } { 10 }$$

Solve for x

$$x=26$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 420, the least common multiple of 60,28,10.

$$7\times 36+15\left(82-x\right)=42x$$

Multiply 7 and 36 to get 252.

$$252+15\left(82-x\right)=42x$$

Use the distributive property to multiply 15 by 82-x.

$$252+1230-15x=42x$$

Add 252 and 1230 to get 1482.

$$1482-15x=42x$$

Subtract 42x from both sides.

$$1482-15x-42x=0$$

Combine -15x and -42x to get -57x.

$$1482-57x=0$$

Subtract 1482 from both sides. Anything subtracted from zero gives its negation.

$$-57x=-1482$$

Divide both sides by -57.

$$x=\frac{-1482}{-57}$$

Divide -1482 by -57 to get 26.

$$x=26$$