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

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

Solve for x

$$x = \frac{33}{7} = 4\frac{5}{7} \approx 4.714285714$$

Steps for Solving Linear Equation

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

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

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

$$24-8x+16=-\left(x-7\right)$$

Add 24 and 16 to get 40.

$$40-8x=-\left(x-7\right)$$

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

$$40-8x=-x-\left(-7\right)$$

The opposite of -7 is 7.

$$40-8x=-x+7$$

Add x to both sides.

$$40-8x+x=7$$

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

$$40-7x=7$$

Subtract 40 from both sides.

$$-7x=7-40$$

Subtract 40 from 7 to get -33.

$$-7x=-33$$

Divide both sides by -7.

$$x=\frac{-33}{-7}$$

Fraction \frac{-33}{-7} can be simplified to \frac{33}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{33}{7}$$