Solve (2)2-2x-4/3=-x-7/12

$$( 2 ) 2 - \frac { 2 x - 4 } { 3 } = - \frac { x - 7 } { 12 }$$

Solve for x

$$x = \frac{57}{7} = 8\frac{1}{7} \approx 8.142857143$$

Steps for Solving Linear Equation

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

$$24\times 2-4\left(2x-4\right)=-\left(x-7\right)$$

Multiply 24 and 2 to get 48.

$$48-4\left(2x-4\right)=-\left(x-7\right)$$

Use the distributive property to multiply -4 by 2x-4.

$$48-8x+16=-\left(x-7\right)$$

Add 48 and 16 to get 64.

$$64-8x=-\left(x-7\right)$$

To find the opposite of x-7, find the opposite of each term.

$$64-8x=-x-\left(-7\right)$$

The opposite of -7 is 7.

$$64-8x=-x+7$$

Add x to both sides.

$$64-8x+x=7$$

Combine -8x and x to get -7x.

$$64-7x=7$$

Subtract 64 from both sides.

$$-7x=7-64$$

Subtract 64 from 7 to get -57.

$$-7x=-57$$

Divide both sides by -7.

$$x=\frac{-57}{-7}$$

Fraction \frac{-57}{-7} can be simplified to \frac{57}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{57}{7}$$