Question

linear equations w/ distribution (lev 1)
score: 0/2 penalty: 1 off
question
solve.
2(x - 3) = 14
answer attempt 1 out of 2
x =

Explanation:

Step1: Expand the left - hand side

Use the distributive property \(a(b - c)=ab - ac\). Here \(a = 2\), \(b=x\), \(c = 3\). So \(2(x - 3)=2x-6\). The equation becomes \(2x-6 = 14\).

Step2: Isolate the term with \(x\)

Add \(6\) to both sides of the equation. Using the addition property of equality \(a=b\Rightarrow a + c=b + c\). We have \(2x-6+6=14 + 6\), which simplifies to \(2x=20\).

Step3: Solve for \(x\)

Divide both sides of the equation by \(2\). Using the division property of equality \(a=b\Rightarrow\frac{a}{c}=\frac{b}{c}(c
eq0)\). So \(\frac{2x}{2}=\frac{20}{2}\), and \(x = 10\).

Answer:

\(10\)