Solve 4x/5+43/4=x/10

$$\frac { 4 x } { 5 } + \frac { 43 } { 4 } = \frac { x } { 10 }$$

Solve for x

$$x = -\frac{215}{14} = -15\frac{5}{14} \approx -15.357142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4,10.

$$4\times 4x+215=2x$$

Multiply 4 and 4 to get 16.

$$16x+215=2x$$

Subtract 2x from both sides.

$$16x+215-2x=0$$

Combine 16x and -2x to get 14x.

$$14x+215=0$$

Subtract 215 from both sides. Anything subtracted from zero gives its negation.

$$14x=-215$$

Divide both sides by 14.

$$x=\frac{-215}{14}$$

Fraction \frac{-215}{14} can be rewritten as -\frac{215}{14} by extracting the negative sign.

$$x=-\frac{215}{14}$$