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Solve the following equation for
x. Express your answer in the simplest form.

-(3x+8)=-3x-9

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-(3 x+8)=-3 x-9$ $\newline$

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Multiply two binomials: special cases

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-(3 x+8)=-3 x-9

\newline

Distribute negative sign: First, we need to distribute the negative sign on the left side of the equation. $\newline$ $- (3x + 8) = -3x - 9$ $\newline$ This gives us: $-3x - 8 = -3x - 9$
Add and isolate variable: Next, we observe that we have $-3x$ on both sides of the equation. If we add $3x$ to both sides, we can attempt to isolate the variable $x$ . $\newline$ $-3x - 8 + 3x = -3x - 9 + 3x$ $\newline$ This simplifies to: $-8 = -9$
Identify contradiction: We now see that $-8$ does not equal $-9$ , which indicates that there is no solution for $x$ that would satisfy this equation. This is because we have arrived at a contradiction.
Conclude inconsistency: Since we have determined that there is no solution, we can conclude that the equation is inconsistent and does not have a value for $x$ that would make it true.

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