Solve 1+0x-5/6=3-x/4

$$1 + \frac { 0 x - 5 } { 6 } = \frac { 3 - x } { 4 }$$

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

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

$$12+2\left(0x-5\right)=3\left(3-x\right)$$

Anything times zero gives zero.

$$12+2\left(0-5\right)=3\left(3-x\right)$$

Subtract 5 from 0 to get -5.

$$12+2\left(-5\right)=3\left(3-x\right)$$

Multiply 2 and -5 to get -10.

$$12-10=3\left(3-x\right)$$

Subtract 10 from 12 to get 2.

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

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

$$2=9-3x$$

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

$$9-3x=2$$

Subtract 9 from both sides.

$$-3x=2-9$$

Subtract 9 from 2 to get -7.

$$-3x=-7$$

Divide both sides by -3.

$$x=\frac{-7}{-3}$$

Fraction \frac{-7}{-3} can be simplified to \frac{7}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{3}$$