Solve 0.4=14+3x/41+3x

$$0.4= \frac{ 14+3x }{ 41+3x }$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{41}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+41.

$$0.4\left(3x+41\right)=14+3x$$

Use the distributive property to multiply 0.4 by 3x+41.

$$1.2x+16.4=14+3x$$

Subtract 3x from both sides.

$$1.2x+16.4-3x=14$$

Combine 1.2x and -3x to get -1.8x.

$$-1.8x+16.4=14$$

Subtract 16.4 from both sides.

$$-1.8x=14-16.4$$

Subtract 16.4 from 14 to get -2.4.

$$-1.8x=-2.4$$

Divide both sides by -1.8.

$$x=\frac{-2.4}{-1.8}$$

Expand \frac{-2.4}{-1.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{-24}{-18}$$

Reduce the fraction \frac{-24}{-18} to lowest terms by extracting and canceling out -6.

$$x=\frac{4}{3}$$