## Related questions with answers

Question

David wants to solve for x in the equation 4(x+3)=20. He said, "i can rewrite this equation by distributing the 4 on the left side." After distributing, what should his new equation be? Solve this equation using David's method.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Solution using David's method is shown below.

$\begin{align*} 4(x+3)&=20 \tag{ multiply using distributive property}\\ 4x+12&=20 \tag{Subtract 12 from each side}\\ 4x+12-12&=20-12\\ 4x&=8\tag{divide each side by 4}\\ \dfrac{4x}{4}&=\dfrac{8}{4}\\ x&=2 \end{align*}$

Therefore, new equation will be $4x+12=20$ and solution of it will be $x=2$

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