Question

linear equations w/ distribution (lev 2)
score: 1/8 penalty: none
question
solve for x.
5(2x + 1) + 5x - 2 = 48

Explanation:

Step1: Distribute 5

$5\times(2x + 1)=10x+5$, so the equation becomes $10x + 5+5x - 2=48$.

Step2: Combine like - terms

$(10x+5x)+(5 - 2)=48$, which simplifies to $15x+3 = 48$.

Step3: Isolate the term with x

Subtract 3 from both sides: $15x+3 - 3=48 - 3$, resulting in $15x=45$.

Step4: Solve for x

Divide both sides by 15: $\frac{15x}{15}=\frac{45}{15}$, so $x = 3$.

Answer:

$x = 3$