Question

solve for x:

(-(-10x - 6) - 6 = -9x)

answer
attempt 1 out of 2

(x = ) input box submit answer

Explanation:

Step1: Simplify the left - hand side

First, we deal with the negative sign in front of the parentheses. Using the distributive property \(a-(b + c)=a - b - c\) (here \(a = 0\), \(b=- 10x\), \(c = - 6\)), we have \(-(-10x - 6)=10x + 6\). Then the original equation \(-(-10x - 6)-6=-9x\) becomes \(10x+6 - 6=-9x\).
Simplifying \(10x + 6-6\), the \(+6\) and \(-6\) cancel out, so we get \(10x=-9x\).

Step2: Solve for \(x\)

Add \(9x\) to both sides of the equation \(10x=-9x\) to get all the \(x\) terms on one side. Using the addition property of equality (if \(a = b\), then \(a + c=b + c\)), we have \(10x+9x=-9x + 9x\).
Simplifying both sides, \(19x = 0\). Then divide both sides by \(19\) (using the division property of equality: if \(a = b\) and \(c
eq0\), then \(\frac{a}{c}=\frac{b}{c}\)), we get \(x=\frac{0}{19}=0\).

Answer:

\(x = 0\)