Solve x+1/3=3x/5

$$\frac { x + 1 } { 3 } = \frac { 3 x } { 5 }$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(x+1\right)=3\times 3x$$

Use the distributive property to multiply 5 by x+1.

$$5x+5=3\times 3x$$

Multiply 3 and 3 to get 9.

$$5x+5=9x$$

Subtract 9x from both sides.

$$5x+5-9x=0$$

Combine 5x and -9x to get -4x.

$$-4x+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-4x=-5$$

Divide both sides by -4.

$$x=\frac{-5}{-4}$$

Fraction \frac{-5}{-4} can be simplified to \frac{5}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{4}$$