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QuestionSolve the equation 7+3(x−2)=2x+107+3(x-2)=2x+10 by applying the distributive property. What is the first step?

Studdy Solution

STEP 1

Assumptions1. We are given the equation 7+3(x−)=x+107+3(x-)= x+10 . The equation is a linear equation in one variable, x3. We are to solve for the variable x

STEP 2

The first step in solving this equation is to apply the distributive property on the left side of the equation. The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac.
7+(x−2)=7+x−67+(x-2) =7 +x -6

STEP 3

implify the left side of the equation by combining like terms.
7−6+3x=3x+17 -6 +3x =3x +1Now we have the equation 3x+1=2x+103x +1 =2x +10.

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