Solve x+4/9=x-3/7

$$\frac { x + 4 } { 9 } = \frac { x - 3 } { 7 }$$

Solve for x

$$x = \frac{55}{2} = 27\frac{1}{2} = 27.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 63, the least common multiple of 9,7.

$$7\left(x+4\right)=9\left(x-3\right)$$

Use the distributive property to multiply 7 by x+4.

$$7x+28=9\left(x-3\right)$$

Use the distributive property to multiply 9 by x-3.

$$7x+28=9x-27$$

Subtract 9x from both sides.

$$7x+28-9x=-27$$

Combine 7x and -9x to get -2x.

$$-2x+28=-27$$

Subtract 28 from both sides.

$$-2x=-27-28$$

Subtract 28 from -27 to get -55.

$$-2x=-55$$

Divide both sides by -2.

$$x=\frac{-55}{-2}$$

Fraction \frac{-55}{-2} can be simplified to \frac{55}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{55}{2}$$