Solve 2x+(80-x)2=4(80-x)-6

$$2 x + ( 80 - x ) 2 = 4 ( 80 - x ) - 6$$

Solve for x

$$x = \frac{77}{2} = 38\frac{1}{2} = 38.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 80-x by 2.

$$2x+160-2x=4\left(80-x\right)-6$$

Combine 2x and -2x to get 0.

$$160=4\left(80-x\right)-6$$

Use the distributive property to multiply 4 by 80-x.

$$160=320-4x-6$$

Subtract 6 from 320 to get 314.

$$160=314-4x$$

Swap sides so that all variable terms are on the left hand side.

$$314-4x=160$$

Subtract 314 from both sides.

$$-4x=160-314$$

Subtract 314 from 160 to get -154.

$$-4x=-154$$

Divide both sides by -4.

$$x=\frac{-154}{-4}$$

Reduce the fraction \frac{-154}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{77}{2}$$