Solve 7x/3+12/2-7x/6=17/12-frac{3x}{4}

$$\frac { 7 x } { 3 } + \frac { 12 } { 2 } - \frac { 7 x } { 6 } = \frac { 17 } { 12 } - \frac { 3 x } { 4 }$$

Solve for x

$$x = -\frac{55}{23} = -2\frac{9}{23} \approx -2.391304348$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,6,12,4.

$$4\times 7x+6\times 12-2\times 7x=17-3\times 3x$$

Multiply 4 and 7 to get 28.

$$28x+6\times 12-2\times 7x=17-3\times 3x$$

Multiply 6 and 12 to get 72.

$$28x+72-2\times 7x=17-3\times 3x$$

Multiply -2 and 7 to get -14.

$$28x+72-14x=17-3\times 3x$$

Combine 28x and -14x to get 14x.

$$14x+72=17-3\times 3x$$

Multiply -3 and 3 to get -9.

$$14x+72=17-9x$$

Add 9x to both sides.

$$14x+72+9x=17$$

Combine 14x and 9x to get 23x.

$$23x+72=17$$

Subtract 72 from both sides.

$$23x=17-72$$

Subtract 72 from 17 to get -55.

$$23x=-55$$

Divide both sides by 23.

$$x=\frac{-55}{23}$$

Fraction \frac{-55}{23} can be rewritten as -\frac{55}{23} by extracting the negative sign.

$$x=-\frac{55}{23}$$