Solve 5(2x+4)-6=(4-x)*10+24

$$5 ( 2 x + 4 ) - 6 = ( 4 - x ) \cdot 10 + 24$$

Solve for x

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

Steps for Solving Linear Equation

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

$$10x+20-6=\left(4-x\right)\times 10+24$$

Subtract 6 from 20 to get 14.

$$10x+14=\left(4-x\right)\times 10+24$$

Use the distributive property to multiply 4-x by 10.

$$10x+14=40-10x+24$$

Add 40 and 24 to get 64.

$$10x+14=64-10x$$

Add 10x to both sides.

$$10x+14+10x=64$$

Combine 10x and 10x to get 20x.

$$20x+14=64$$

Subtract 14 from both sides.

$$20x=64-14$$

Subtract 14 from 64 to get 50.

$$20x=50$$

Divide both sides by 20.

$$x=\frac{50}{20}$$

Reduce the fraction \frac{50}{20} to lowest terms by extracting and canceling out 10.

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