What value of x makes this equation true?

0.5x - 10 = 0.3x + 20

x = 150

Step-by-step explanation: Since our two decimals in this problem, .5 and .3 are both taken to tenths place, we can get rid of the decimals by multiplying both sides of the equation by 10.

This moves the decimals over 1 place to

the right and we have 5x - 100 = 3x + 200.

Next we simply solve from here by subtracting

3x from both sides to get 2x - 100 = 200.

Then adding 100 to both sides to get 2x = 300.

Now divide both sides by 2 and we have x = 150.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)