QuestionSimplify by combining like terms: $3(4x + 5) + 2$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $3(4x+5)+$ . . We are asked to simplify the expression by combining like terms.
3. We are assuming that all variables and constants are real numbers.

STEP 2

First, we need to distribute the to both terms inside the parentheses.
$(4x+5) = \cdot4x + \cdot5$

STEP 3

Now, we calculate the multiplication.
3 \cdotx +3 \cdot5 =12x +15

STEP 4

Next, we add the2 to the expression.
$12x +15 +2$

STEP 5

Finally, we combine the like terms (the constants15 and2).
$12x +15 +2 =12x +17$ So, the simplified expression is $12x +17$ .

Was this helpful?

QuestionSimplify by combining like terms: $3(4x + 5) + 2$

Studdy Solution

STEP 1

Assumptions1. We are given the expression $3(4x+5)+$ . . We are asked to simplify the expression by combining like terms.
3. We are assuming that all variables and constants are real numbers.

STEP 2

First, we need to distribute the to both terms inside the parentheses.
$(4x+5) = \cdot4x + \cdot5$

STEP 3

Now, we calculate the multiplication.
3 \cdotx +3 \cdot5 =12x +15

STEP 4

Next, we add the2 to the expression.
$12x +15 +2$

STEP 5

Finally, we combine the like terms (the constants15 and2).
$12x +15 +2 =12x +17$ So, the simplified expression is $12x +17$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSimplify by combining like terms: 3(4x+5)+23(4x + 5) + 23(4x+5)+2

Studdy Solution

STEP 1

Assumptions1. We are given the expression 3(4x+5)+3(4x+5)+3(4x+5)+. . We are asked to simplify the expression by combining like terms.3. We are assuming that all variables and constants are real numbers.

STEP 2

First, we need to distribute the to both terms inside the parentheses.(4x+5)=⋅4x+⋅5(4x+5) = \cdot4x + \cdot5(4x+5)=⋅4x+⋅5

STEP 3

Now, we calculate the multiplication.3 \cdotx +3 \cdot5 =12x +15

STEP 4

Next, we add the2 to the expression.12x+15+212x +15 +212x+15+2

STEP 5

Finally, we combine the like terms (the constants15 and2).12x+15+2=12x+1712x +15 +2 =12x +1712x+15+2=12x+17So, the simplified expression is 12x+1712x +1712x+17.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSimplify by combining like terms: $3(4x + 5) + 2$

Assumptions1. We are given the expression $3(4x+5)+$ . . We are asked to simplify the expression by combining like terms.
3. We are assuming that all variables and constants are real numbers.

First, we need to distribute the to both terms inside the parentheses.
$(4x+5) = \cdot4x + \cdot5$

Now, we calculate the multiplication.
3 \cdotx +3 \cdot5 =12x +15

Next, we add the2 to the expression.
$12x +15 +2$

Finally, we combine the like terms (the constants15 and2).
$12x +15 +2 =12x +17$ So, the simplified expression is $12x +17$ .