Solve 12./3-(2x-5)/3+(5x-4)/4=1

$$\frac { 12 . } { 3 } - \frac { ( 2 x - 5 ) } { 3 } + \frac { ( 5 x - 4 ) } { 4 } = 1$$

Solve for x

$$x = -\frac{44}{7} = -6\frac{2}{7} \approx -6.285714286$$

Steps for Solving Linear Equation

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

$$4\times 12-4\left(2x-5\right)+3\left(5x-4\right)=12$$

Multiply 4 and 12 to get 48.

$$48-4\left(2x-5\right)+3\left(5x-4\right)=12$$

Use the distributive property to multiply -4 by 2x-5.

$$48-8x+20+3\left(5x-4\right)=12$$

Add 48 and 20 to get 68.

$$68-8x+3\left(5x-4\right)=12$$

Use the distributive property to multiply 3 by 5x-4.

$$68-8x+15x-12=12$$

Combine -8x and 15x to get 7x.

$$68+7x-12=12$$

Subtract 12 from 68 to get 56.

$$56+7x=12$$

Subtract 56 from both sides.

$$7x=12-56$$

Subtract 56 from 12 to get -44.

$$7x=-44$$

Divide both sides by 7.

$$x=\frac{-44}{7}$$

Fraction \frac{-44}{7} can be rewritten as -\frac{44}{7} by extracting the negative sign.

$$x=-\frac{44}{7}$$