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solve the equation. $5x + 8 - 3x = -10$ $\\bigcirc$ $x = -9$ $\\bigcirc…

Question

solve the equation.
$5x + 8 - 3x = -10$
$\bigcirc$ $x = -9$
$\bigcirc$ $x = -1$
$\bigcirc$ $x = 1$
$\bigcirc$ $x = 9$

Explanation:

Step1: Combine like terms

Combine the \(5x\) and \(-3x\) terms. So, \(5x - 3x + 8=-10\) simplifies to \(2x + 8=-10\).

Step2: Subtract 8 from both sides

Subtract 8 from each side of the equation: \(2x + 8 - 8=-10 - 8\), which gives \(2x=-18\).

Step3: Divide by 2

Divide both sides by 2: \(\frac{2x}{2}=\frac{-18}{2}\), so \(x = - 9\).

Answer:

\(x=-9\) (corresponding to the option: \(x = - 9\))