Solve x/193+54-x/89=45

$$\frac { x } { 193 } + \frac { 54 - x } { 89 } = 45$$

Solve for x

$$x = -\frac{762543}{104} = -7332\frac{15}{104} \approx -7332.144230769$$

Steps for Solving Linear Equation

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

$$89x+193\left(54-x\right)=772965$$

Use the distributive property to multiply 193 by 54-x.

$$89x+10422-193x=772965$$

Combine 89x and -193x to get -104x.

$$-104x+10422=772965$$

Subtract 10422 from both sides.

$$-104x=772965-10422$$

Subtract 10422 from 772965 to get 762543.

$$-104x=762543$$

Divide both sides by -104.

$$x=\frac{762543}{-104}$$

Fraction \frac{762543}{-104} can be rewritten as -\frac{762543}{104} by extracting the negative sign.

$$x=-\frac{762543}{104}$$