Solve x/5=10+14(x-10/7)

$$\frac { x } { 5 } = 10 + 14 ( x - \frac { 10 } { 7 } )$$

Solve for x

$$x=\frac{50}{69}\approx 0.724637681$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7x=350+490\left(x-\frac{10}{7}\right)$$

Use the distributive property to multiply 490 by x-\frac{10}{7}.

$$7x=350+490x+490\left(-\frac{10}{7}\right)$$

Express 490\left(-\frac{10}{7}\right) as a single fraction.

$$7x=350+490x+\frac{490\left(-10\right)}{7}$$

Multiply 490 and -10 to get -4900.

$$7x=350+490x+\frac{-4900}{7}$$

Divide -4900 by 7 to get -700.

$$7x=350+490x-700$$

Subtract 700 from 350 to get -350.

$$7x=-350+490x$$

Subtract 490x from both sides.

$$7x-490x=-350$$

Combine 7x and -490x to get -483x.

$$-483x=-350$$

Divide both sides by -483.

$$x=\frac{-350}{-483}$$

Reduce the fraction \frac{-350}{-483} to lowest terms by extracting and canceling out -7.

$$x=\frac{50}{69}$$