Solve x-3/4+1=5/6x-1/2

$$\frac { x - 3 } { 4 } + 1 = \frac { 5 } { 6 } x - \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6,2.

$$3\left(x-3\right)+12=10x-6$$

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

$$3x-9+12=10x-6$$

Add -9 and 12 to get 3.

$$3x+3=10x-6$$

Subtract 10x from both sides.

$$3x+3-10x=-6$$

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

$$-7x+3=-6$$

Subtract 3 from both sides.

$$-7x=-6-3$$

Subtract 3 from -6 to get -9.

$$-7x=-9$$

Divide both sides by -7.

$$x=\frac{-9}{-7}$$

Fraction \frac{-9}{-7} can be simplified to \frac{9}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{9}{7}$$