Solve 4(2x+5)-3(4-2x)=24

$$4 ( 2 x + 5 ) - 3 ( 4 - 2 x ) = 24$$

Solve for x

$$x = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x+5.

$$8x+20-3\left(4-2x\right)=24$$

Use the distributive property to multiply -3 by 4-2x.

$$8x+20-12+6x=24$$

Subtract 12 from 20 to get 8.

$$8x+8+6x=24$$

Combine 8x and 6x to get 14x.

$$14x+8=24$$

Subtract 8 from both sides.

$$14x=24-8$$

Subtract 8 from 24 to get 16.

$$14x=16$$

Divide both sides by 14.

$$x=\frac{16}{14}$$

Reduce the fraction \frac{16}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{8}{7}$$