Question

question
solve for x.
-2(-3x - 5) - 5x + 3 = 8
answer attempt 1 out of 2
x =
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Explanation:

Step1: Distribute the -2

We start by distributing the -2 into the parentheses \(-2(-3x - 5)\). Using the distributive property \(a(b + c)=ab+ac\), we get \((-2)\times(-3x)+(-2)\times(-5)=6x + 10\). So the equation becomes \(6x + 10-5x + 3 = 8\).

Step2: Combine like terms

Combine the \(x\)-terms and the constant terms. For the \(x\)-terms: \(6x-5x=x\). For the constant terms: \(10 + 3=13\). So the equation simplifies to \(x+13 = 8\).

Step3: Solve for x

Subtract 13 from both sides of the equation \(x+13-13=8 - 13\). This gives \(x=-5\).

Answer:

\(-5\)