Solve 3-x/3=x+1/2-5x/4

$$\frac { 3 - x } { 3 } = \frac { x + 1 } { 2 } - \frac { 5 x } { 4 }$$

Solve for x

$$x = -\frac{6}{5} = -1\frac{1}{5} = -1.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,4.

$$4\left(3-x\right)=6\left(x+1\right)-3\times 5x$$

Use the distributive property to multiply 4 by 3-x.

$$12-4x=6\left(x+1\right)-3\times 5x$$

Use the distributive property to multiply 6 by x+1.

$$12-4x=6x+6-3\times 5x$$

Multiply -3 and 5 to get -15.

$$12-4x=6x+6-15x$$

Combine 6x and -15x to get -9x.

$$12-4x=-9x+6$$

Add 9x to both sides.

$$12-4x+9x=6$$

Combine -4x and 9x to get 5x.

$$12+5x=6$$

Subtract 12 from both sides.

$$5x=6-12$$

Subtract 12 from 6 to get -6.

$$5x=-6$$

Divide both sides by 5.

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

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

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