Solve 2x+3/4-x-5/6=0

$$\frac { 2 x + 3 } { 4 } - \frac { x - 5 } { 6 } = 0$$

Solve for x

$$x = -\frac{19}{4} = -4\frac{3}{4} = -4.75$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(2x+3\right)-2\left(x-5\right)=0$$

Use the distributive property to multiply 3 by 2x+3.

$$6x+9-2\left(x-5\right)=0$$

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

$$6x+9-2x+10=0$$

Combine 6x and -2x to get 4x.

$$4x+9+10=0$$

Add 9 and 10 to get 19.

$$4x+19=0$$

Subtract 19 from both sides. Anything subtracted from zero gives its negation.

$$4x=-19$$

Divide both sides by 4.

$$x=\frac{-19}{4}$$

Fraction \frac{-19}{4} can be rewritten as -\frac{19}{4} by extracting the negative sign.

$$x=-\frac{19}{4}$$