Solve -3/4=3x/4+11/8

$$- \frac { 3 } { 4 } = \frac { 3 x } { 4 } + \frac { 11 } { 8 }$$

Solve for x

$$x = -\frac{17}{6} = -2\frac{5}{6} \approx -2.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,8.

$$-6=2\times 3x+11$$

Multiply 2 and 3 to get 6.

$$-6=6x+11$$

Swap sides so that all variable terms are on the left hand side.

$$6x+11=-6$$

Subtract 11 from both sides.

$$6x=-6-11$$

Subtract 11 from -6 to get -17.

$$6x=-17$$

Divide both sides by 6.

$$x=\frac{-17}{6}$$

Fraction \frac{-17}{6} can be rewritten as -\frac{17}{6} by extracting the negative sign.

$$x=-\frac{17}{6}$$