Solve x-7/8=3x+1/2

$$x - \frac { 7 } { 8 } = 3 x + \frac { 1 } { 2 }$$

Solve for x

$$x=-\frac{11}{16}=-0.6875$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$x-\frac{7}{8}-3x=\frac{1}{2}$$

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

$$-2x-\frac{7}{8}=\frac{1}{2}$$

Add \frac{7}{8} to both sides.

$$-2x=\frac{1}{2}+\frac{7}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{7}{8} to fractions with denominator 8.

$$-2x=\frac{4}{8}+\frac{7}{8}$$

Since \frac{4}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$-2x=\frac{4+7}{8}$$

Add 4 and 7 to get 11.

$$-2x=\frac{11}{8}$$

Divide both sides by -2.

$$x=\frac{\frac{11}{8}}{-2}$$

Express \frac{\frac{11}{8}}{-2} as a single fraction.

$$x=\frac{11}{8\left(-2\right)}$$

Multiply 8 and -2 to get -16.

$$x=\frac{11}{-16}$$

Fraction \frac{11}{-16} can be rewritten as -\frac{11}{16} by extracting the negative sign.

$$x=-\frac{11}{16}$$