Solve 2x+3/5=3x-4/7

$$\frac { 2 x + 3 } { 5 } = \frac { 3 x - 4 } { 7 }$$

Solve for x

$$x=41$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7\left(2x+3\right)=5\left(3x-4\right)$$

Use the distributive property to multiply 7 by 2x+3.

$$14x+21=5\left(3x-4\right)$$

Use the distributive property to multiply 5 by 3x-4.

$$14x+21=15x-20$$

Subtract 15x from both sides.

$$14x+21-15x=-20$$

Combine 14x and -15x to get -x.

$$-x+21=-20$$

Subtract 21 from both sides.

$$-x=-20-21$$

Subtract 21 from -20 to get -41.

$$-x=-41$$

Multiply both sides by -1.

$$x=41$$