Solve 50(4x)/12-10x/3+7(3x)/2=170

$$\frac { 50 ( 4 x ) } { 12 } - \frac { 10 x } { 3 } + \frac { 7 ( 3 x ) } { 2 } = 170$$

Solve for x

$$x = \frac{1020}{143} = 7\frac{19}{143} \approx 7.132867133$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 12,3,2.

$$50\times 4x-4\times 10x+6\times 7\times 3x=2040$$

Multiply 50 and 4 to get 200.

$$200x-4\times 10x+6\times 7\times 3x=2040$$

Multiply -4 and 10 to get -40.

$$200x-40x+6\times 7\times 3x=2040$$

Combine 200x and -40x to get 160x.

$$160x+6\times 7\times 3x=2040$$

Multiply 6 and 7 to get 42.

$$160x+42\times 3x=2040$$

Multiply 42 and 3 to get 126.

$$160x+126x=2040$$

Combine 160x and 126x to get 286x.

$$286x=2040$$

Divide both sides by 286.

$$x=\frac{2040}{286}$$

Reduce the fraction \frac{2040}{286} to lowest terms by extracting and canceling out 2.

$$x=\frac{1020}{143}$$