Question

question\
solve for x:\
\\(9x + 10(-2x + 3) = -10x\\)\
answer\
attempt 1 out of 2\
\\(x = \\)\
submit answer

Explanation:

Step1: Distribute the 10

First, we need to distribute the 10 into the parentheses \(-2x + 3\). Using the distributive property \(a(b + c)=ab+ac\), we have:
\(10(-2x + 3)=10\times(-2x)+10\times3=-20x + 30\)
So the original equation \(9x + 10(-2x + 3)=-10x\) becomes:
\(9x-20x + 30=-10x\)

Step2: Combine like terms on the left

Now, combine the \(x\)-terms on the left side. \(9x-20x=-11x\), so the equation is:
\(-11x + 30=-10x\)

Step3: Add \(11x\) to both sides

To get all the \(x\)-terms on one side, we add \(11x\) to both sides of the equation. This will eliminate the \(-11x\) on the left.
\(-11x+11x + 30=-10x+11x\)
Simplifying both sides, we get:
\(30=x\)

Answer:

\(x = 30\)