Solve the linear equation: 3(x - 2) + 7 = 2(x + 5)

zibazeleor

zibazeleor

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2022-08-17

Solve the linear equation: 3(x - 2) + 7 = 2(x + 5)

Answer & Explanation

Cora Bird

Cora Bird

Beginner2022-08-18Added 8 answers

Step 1
Consider the given linear equation,
3(x-2)+7=2(x+5)
here the objective is to find the solution of the given linear equation,
expand the parenthesis,
3x-6+7=2x+10
3x+1=2x+10
Step 2
now, arrange the similar terms on one side of the equation and solve for x,
3x-2x=10-1
x=9
hence the solution of the given linear equation is x=9.
lo3ramd

lo3ramd

Beginner2022-08-19Added 2 answers

Step 1
Write the data as a generalized function
3(x-2)+7=2(x+5)
3x-6+7=2(x+5)
Step 2
Add numbers
3x-6+7=2(x+5)
3x+1=2(x+5)
Step 3
Write the data as a generalized function
3x+1=2(x+5)
3x+1=2x=10
Step 4
Subtract 1 from both parts of the equation
3x+1=2x+10
3x+1-1=2x+10-1
Step 5
Simplification:
3x=2x+9
The solution
x=9

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