Solve 2x/3+1=7x/5+3

$$\frac{ 2x }{ 3 } +1= \frac{ 7x }{ 5 } +3$$

Solve for x

$$x = -\frac{30}{11} = -2\frac{8}{11} \approx -2.727272727$$

Steps for Solving Linear Equation

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

$$5\times 2x+15=3\times 7x+45$$

Multiply 5 and 2 to get 10.

$$10x+15=3\times 7x+45$$

Multiply 3 and 7 to get 21.

$$10x+15=21x+45$$

Subtract 21x from both sides.

$$10x+15-21x=45$$

Combine 10x and -21x to get -11x.

$$-11x+15=45$$

Subtract 15 from both sides.

$$-11x=45-15$$

Subtract 15 from 45 to get 30.

$$-11x=30$$

Divide both sides by -11.

$$x=\frac{30}{-11}$$

Fraction \frac{30}{-11} can be rewritten as -\frac{30}{11} by extracting the negative sign.

$$x=-\frac{30}{11}$$