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

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

Solve for x

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3.75$$

Steps for Solving Linear Equation

Combine 3x and -5x to get -2x.

$$-2x-\frac{1}{2}=7$$

Add \frac{1}{2} to both sides.

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

Convert 7 to fraction \frac{14}{2}.

$$-2x=\frac{14}{2}+\frac{1}{2}$$

Since \frac{14}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$-2x=\frac{14+1}{2}$$

Add 14 and 1 to get 15.

$$-2x=\frac{15}{2}$$

Divide both sides by -2.

$$x=\frac{\frac{15}{2}}{-2}$$

Express \frac{\frac{15}{2}}{-2} as a single fraction.

$$x=\frac{15}{2\left(-2\right)}$$

Multiply 2 and -2 to get -4.

$$x=\frac{15}{-4}$$

Fraction \frac{15}{-4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$x=-\frac{15}{4}$$