Solve 10x/193+6010-10x/89=50

$$\frac{ 10x }{ 193 } + \frac{ 6010-10x }{ 89 } = 50$$

Solve for x

$$x = \frac{579}{2} = 289\frac{1}{2} = 289.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 17177, the least common multiple of 193,89.

$$89\times 10x+193\left(6010-10x\right)=858850$$

Multiply 89 and 10 to get 890.

$$890x+193\left(6010-10x\right)=858850$$

Use the distributive property to multiply 193 by 6010-10x.

$$890x+1159930-1930x=858850$$

Combine 890x and -1930x to get -1040x.

$$-1040x+1159930=858850$$

Subtract 1159930 from both sides.

$$-1040x=858850-1159930$$

Subtract 1159930 from 858850 to get -301080.

$$-1040x=-301080$$

Divide both sides by -1040.

$$x=\frac{-301080}{-1040}$$

Reduce the fraction \frac{-301080}{-1040} to lowest terms by extracting and canceling out -520.

$$x=\frac{579}{2}$$