Solve 2x-5/8=-5/6

$$\frac { 2 x - 5 } { 8 } = \frac { - 5 } { 6 }$$

Solve for x

$$x=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6.

$$3\left(2x-5\right)=4\left(-5\right)$$

Use the distributive property to multiply 3 by 2x-5.

$$6x-15=4\left(-5\right)$$

Multiply 4 and -5 to get -20.

$$6x-15=-20$$

Add 15 to both sides.

$$6x=-20+15$$

Add -20 and 15 to get -5.

$$6x=-5$$

Divide both sides by 6.

$$x=\frac{-5}{6}$$

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$x=-\frac{5}{6}$$