Solve x/4-1=5x/6+3

$$\frac { x } { 4 } - 1 = \frac { 5 x } { 6 } + 3$$

Solve for x

$$x = -\frac{48}{7} = -6\frac{6}{7} \approx -6.857142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3x-12=2\times 5x+36$$

Multiply 2 and 5 to get 10.

$$3x-12=10x+36$$

Subtract 10x from both sides.

$$3x-12-10x=36$$

Combine 3x and -10x to get -7x.

$$-7x-12=36$$

Add 12 to both sides.

$$-7x=36+12$$

Add 36 and 12 to get 48.

$$-7x=48$$

Divide both sides by -7.

$$x=\frac{48}{-7}$$

Fraction \frac{48}{-7} can be rewritten as -\frac{48}{7} by extracting the negative sign.

$$x=-\frac{48}{7}$$