Solve 4x-1/5=5x+7/6

$$\frac { 4 x - 1 } { 5 } = \frac { 5 x + 7 } { 6 }$$

Solve for x

$$x=-41$$

Steps for Solving Linear Equation

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

$$6\left(4x-1\right)=5\left(5x+7\right)$$

Use the distributive property to multiply 6 by 4x-1.

$$24x-6=5\left(5x+7\right)$$

Use the distributive property to multiply 5 by 5x+7.

$$24x-6=25x+35$$

Subtract 25x from both sides.

$$24x-6-25x=35$$

Combine 24x and -25x to get -x.

$$-x-6=35$$

Add 6 to both sides.

$$-x=35+6$$

Add 35 and 6 to get 41.

$$-x=41$$

Multiply both sides by -1.

$$x=-41$$