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Solve for $x$ : $\newline$ $3x+5=2(x-4)$

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Estimate products of fractions and whole numbers

Full solution

Q. Solve for

x

:

\newline

3x+5=2(x-4)

Distribute $2$ to both sides: First, we need to distribute the $2$ on the right side of the equation to both $x$ and $-4$ . So, we have: $3x + 5 = 2x - 8$
Subtract $2x$ from both sides: Next, we subtract $2x$ from both sides to get the $x$ terms on one side and the constants on the other side. $\newline$ $3x - 2x + 5 = 2x - 2x - 8$ $\newline$ This simplifies to: $\newline$ $x + 5 = -8$
Subtract $5$ from both sides: Now, we subtract $5$ from both sides to solve for $x$ . $x + 5 - 5 = -8 - 5$ This simplifies to: $x = -13$

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