How do you simplify 28x+14+4x+16? And if x=4, is the solution to both expressions the same?

2 Answers

158

Explanation:

First, you combine like terms so that would be 28x and 4x and 14 and 16. Now we have the simplified expression

32x + 30

Then you would substitute x = 4, so now we have

32(4) + 30

If you multiply 32 xx 4 you get 128, and now we have

128 + 30 = 158

Apr 5, 2018

Simplified, the expression is 32x+30,

This is the same as 2 (16x + 15)

If x = 4, both expressions are evaluated as 158

Explanation:

Simplify    28x + 14 + 4x + 16

To simplify this expression, combine the like terms.

Sometimes it's easier to combine like terms if you collect them first by grouping them like with like.

1) Collect the like terms.
When you shuffle the terms around, you have to bring their signs with them.
28x + 4x     +14 + 16

2) Combine like terms
32x + 30 larr answer

You can factor this expression if you want, but I don't know if you'd consider that more or less simplified
2(16x + 15) larr same answer

color(white)(mmmmmmmm)―――――――――

Let x = 4 to check that the original expression comes out the same as the simplified expression.

If they don't come out the same, then there was a math mistake during the simplifying and the answer would be wrong.

Original expression
28x + 14 + 4x + 16    Let x = 4

1) Sub in 4 in the place of x
28(4) + 14 + 4(4) + 16

2) Clear the parentheses by multiplying
112 + 14 + 16 + 16

3) Combine like terms
158 larr answer

color(white)(mmmmmmmm)―――――――――

Simplified expression
32x + 30

1) Sub in 4 in the place of x
32(4) + 30

2) Clear the parentheses
128 + 30

3) Combine like terms
158 larr same answer

color(white)(mmmmmmmm)―――――――――

Factored expression
2 (16x + 15)

1) Sub in 4 in the place of x
2 {16(4) + 15}

2) Clear the inner parentheses
2 (64 + 15)

3) Combine like terms inside the parentheses
2 (79)

4) Clear the parentheses
158 larr same answer