Solve 2x+1/7=3x-5/4

$$\frac { 2 x + 1 } { 7 } = \frac { 3 x - 5 } { 4 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28, the least common multiple of 7,4.

$$4\left(2x+1\right)=7\left(3x-5\right)$$

Use the distributive property to multiply 4 by 2x+1.

$$8x+4=7\left(3x-5\right)$$

Use the distributive property to multiply 7 by 3x-5.

$$8x+4=21x-35$$

Subtract 21x from both sides.

$$8x+4-21x=-35$$

Combine 8x and -21x to get -13x.

$$-13x+4=-35$$

Subtract 4 from both sides.

$$-13x=-35-4$$

Subtract 4 from -35 to get -39.

$$-13x=-39$$

Divide both sides by -13.

$$x=\frac{-39}{-13}$$

Divide -39 by -13 to get 3.

$$x=3$$