Solve 7/2x+1/2=3

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

Solve for x

$$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2x,2.

$$7+2x\times \frac{1}{2}=6x$$

Multiply 2 and \frac{1}{2} to get 1.

$$7+x=6x$$

Subtract 6x from both sides.

$$7+x-6x=0$$

Combine x and -6x to get -5x.

$$7-5x=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$-5x=-7$$

Divide both sides by -5.

$$x=\frac{-7}{-5}$$

Fraction \frac{-7}{-5} can be simplified to \frac{7}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{5}$$