Solve 3x/4+2(x-3)/6=1

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

Solve for x

$$x = \frac{24}{13} = 1\frac{11}{13} \approx 1.846153846$$

Steps for Solving Linear Equation

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

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

Multiply 3 and 3 to get 9.

$$9x+2\times 2\left(x-3\right)=12$$

Multiply 2 and 2 to get 4.

$$9x+4\left(x-3\right)=12$$

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

$$9x+4x-12=12$$

Combine 9x and 4x to get 13x.

$$13x-12=12$$

Add 12 to both sides.

$$13x=12+12$$

Add 12 and 12 to get 24.

$$13x=24$$

Divide both sides by 13.

$$x=\frac{24}{13}$$