17.9k views
5 votes
Solve for x using cross multiplication
(3x+5)=x/2

User JrBenito
by
8.0k points

2 Answers

5 votes

Answer:

Explanation:

(3x+5) = x/2

First, multiply both sides by 2

2(3x+5) = 2(x/2)

6x+10 = x

subtract 10 from both sides

6x+10-10 = x-10

6x = x-10

subtract x from both sides

6x-x = x-x-10

5x = -10

divide both sides by 5

x = -2

User Hitesh Misro
by
8.3k points
4 votes

The answer is -2.

Eliminate the fraction by multiplying both sides of the equation by 2 to get rid of the denominator:

2 * (3x + 5) = x

Distribute 2 to both terms inside the parentheses:

6x + 10 = x

Subtract x from both sides of the equation to isolate the variable term:

6x - x + 10 = 0

Combining like terms:

5x + 10 = 0

Move the constant term to the other side of the equation by subtracting 10 from both sides:

5x = -10

Divide both sides of the equation by 5 to solve for x:

x = -10/5

Simplifying:

x = -2

User Theusaf
by
8.9k points

No related questions found