Math

QuestionSimplify the expression: 3(2x)2(4x10)-3(2-x)-2(4x-10)

Studdy Solution

STEP 1

Assumptions1. The expression to simplify is 3(x)(4x10)-3(-x)-(4x-10). We will use the distributive property of multiplication over addition and subtraction to simplify this expression.

STEP 2

First, we distribute the - to both terms inside the first parentheses.
(2x)=×2×(x)-(2-x) = - \times2 - \times (-x)

STEP 3

implify the multiplication.
3×23×(x)=6+3x-3 \times2 -3 \times (-x) = -6 +3x

STEP 4

Now, distribute the 2-2 to both terms inside the second parentheses.
2(4x10)=2×4x2×(10)-2(4x-10) = -2 \times4x -2 \times (-10)

STEP 5

implify the multiplication.
2×4x2×(10)=8x+20-2 \times4x -2 \times (-10) = -8x +20

STEP 6

Now, we combine the expressions we obtained from steps3 and5.
6+3x8x+20-6 +3x -8x +20

STEP 7

Next, we combine like terms. The like terms in this expression are 3x3x and x-x, and 6-6 and 2020.
(3xx)+(6+20)(3x -x) + (-6 +20)

STEP 8

implify the addition and subtraction.
(3x8x)+(6+20)=5x+14(3x -8x) + (-6 +20) = -5x +14So, the simplified form of the expression 3(2x)2(4x10)-3(2-x)-2(4x-10) is 5x+14-5x +14.

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord