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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-7.

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

Use the distributive property to multiply 2x-7 by 4.

$$8x-28+3=x-4$$

Add -28 and 3 to get -25.

$$8x-25=x-4$$

Subtract x from both sides.

$$8x-25-x=-4$$

Combine 8x and -x to get 7x.

$$7x-25=-4$$

Add 25 to both sides.

$$7x=-4+25$$

Add -4 and 25 to get 21.

$$7x=21$$

Divide both sides by 7.

$$x=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$x=3$$