Solve 4x/1-2x-5/6=5x-6/5

$$\frac{ 4x }{ 1 } - \frac{ 2x-5 }{ 6 } = \frac{ 5x-6 }{ 5 }$$

Solve for x

$$x=-\frac{61}{80}=-0.7625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5.

$$30\times 4x-5\left(2x-5\right)=6\left(5x-6\right)$$

Multiply 30 and 4 to get 120.

$$120x-5\left(2x-5\right)=6\left(5x-6\right)$$

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

$$120x-10x+25=6\left(5x-6\right)$$

Combine 120x and -10x to get 110x.

$$110x+25=6\left(5x-6\right)$$

Use the distributive property to multiply 6 by 5x-6.

$$110x+25=30x-36$$

Subtract 30x from both sides.

$$110x+25-30x=-36$$

Combine 110x and -30x to get 80x.

$$80x+25=-36$$

Subtract 25 from both sides.

$$80x=-36-25$$

Subtract 25 from -36 to get -61.

$$80x=-61$$

Divide both sides by 80.

$$x=\frac{-61}{80}$$

Fraction \frac{-61}{80} can be rewritten as -\frac{61}{80} by extracting the negative sign.

$$x=-\frac{61}{80}$$