Solve 4(2-x)=3(2x-7)+4

$$4 ( 2 - x ) = 3 ( 2 x - 7 ) + 4$$

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

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

$$8-4x=3\left(2x-7\right)+4$$

Use the distributive property to multiply 3 by 2x-7.

$$8-4x=6x-21+4$$

Add -21 and 4 to get -17.

$$8-4x=6x-17$$

Subtract 6x from both sides.

$$8-4x-6x=-17$$

Combine -4x and -6x to get -10x.

$$8-10x=-17$$

Subtract 8 from both sides.

$$-10x=-17-8$$

Subtract 8 from -17 to get -25.

$$-10x=-25$$

Divide both sides by -10.

$$x=\frac{-25}{-10}$$

Reduce the fraction \frac{-25}{-10} to lowest terms by extracting and canceling out -5.

$$x=\frac{5}{2}$$