Solve 5/2x+4=1/2+1/2x

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

Solve for x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Steps for Solving Linear Equation

Subtract \frac{1}{2}x from both sides.

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

Combine \frac{5}{2}x and -\frac{1}{2}x to get 2x.

$$2x+4=\frac{1}{2}$$

Subtract 4 from both sides.

$$2x=\frac{1}{2}-4$$

Convert 4 to fraction \frac{8}{2}.

$$2x=\frac{1}{2}-\frac{8}{2}$$

Since \frac{1}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{1-8}{2}$$

Subtract 8 from 1 to get -7.

$$2x=-\frac{7}{2}$$

Divide both sides by 2.

$$x=\frac{-\frac{7}{2}}{2}$$

Express \frac{-\frac{7}{2}}{2} as a single fraction.

$$x=\frac{-7}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{-7}{4}$$

Fraction \frac{-7}{4} can be rewritten as -\frac{7}{4} by extracting the negative sign.

$$x=-\frac{7}{4}$$