Solve x+3/4=3(x+1)/5

$$\frac { x + 3 } { 4 } = \frac { 3 ( x + 1 ) } { 5 }$$

Solve for x

$$x=\frac{3}{7}\approx 0.428571429$$

Steps for Solving Linear Equation

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

$$5\left(x+3\right)=4\times 3\left(x+1\right)$$

Use the distributive property to multiply 5 by x+3.

$$5x+15=4\times 3\left(x+1\right)$$

Multiply 4 and 3 to get 12.

$$5x+15=12\left(x+1\right)$$

Use the distributive property to multiply 12 by x+1.

$$5x+15=12x+12$$

Subtract 12x from both sides.

$$5x+15-12x=12$$

Combine 5x and -12x to get -7x.

$$-7x+15=12$$

Subtract 15 from both sides.

$$-7x=12-15$$

Subtract 15 from 12 to get -3.

$$-7x=-3$$

Divide both sides by -7.

$$x=\frac{-3}{-7}$$

Fraction \frac{-3}{-7} can be simplified to \frac{3}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{7}$$