Solve 2x-1/3-x-1/4+15=0

$$\frac { 2 x - 1 } { 3 } - \frac { x - 1 } { 4 } + 15 = 0$$

Solve for x

$$x = -\frac{179}{5} = -35\frac{4}{5} = -35.8$$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)-3\left(x-1\right)+180=0$$

Use the distributive property to multiply 4 by 2x-1.

$$8x-4-3\left(x-1\right)+180=0$$

Use the distributive property to multiply -3 by x-1.

$$8x-4-3x+3+180=0$$

Combine 8x and -3x to get 5x.

$$5x-4+3+180=0$$

Add -4 and 3 to get -1.

$$5x-1+180=0$$

Add -1 and 180 to get 179.

$$5x+179=0$$

Subtract 179 from both sides. Anything subtracted from zero gives its negation.

$$5x=-179$$

Divide both sides by 5.

$$x=\frac{-179}{5}$$

Fraction \frac{-179}{5} can be rewritten as -\frac{179}{5} by extracting the negative sign.

$$x=-\frac{179}{5}$$