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4(6+2x)=0

3x+2x+6=-15

$12$ . $4(6+2 x)=0$ $\newline$ $13$ . $3 x+2 x+6=-15$

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Add and subtract rational numbers

Full solution

Q.

12

.

4(6+2 x)=0

\newline

13

.

3 x+2 x+6=-15

Distribute and Simplify: First, let's solve the equation $4(6+2x)=0$ . Distribute the $4$ into the parentheses: $4\times 6 + 4\times 2x = 0$ . That gives us $24 + 8x = 0$ .
Isolate $8x$ : Now, subtract $24$ from both sides to isolate the $8x$ term: $8x = -24$ .
Solve for x: Next, divide both sides by $8$ to solve for x: $x = -24 / 8$ . So, $x = -3$ .
Combine Like Terms: Now let's solve the second equation: $3x + 2x + 6 = -15$ . Combine like terms: $5x + 6 = -15$ .
Isolate $5x$ : Subtract $6$ from both sides to isolate the $5x$ term: $5x = -15 - 6$ . $\newline$ That gives us $5x = -21$ .
Correct Division Mistake: Finally, divide both sides by $5$ to solve for $x$ : $x = -\frac{21}{5}$ . So, $x = -4.2$ , but wait, that's not right, I made a mistake, it should be $-21$ divided by $5$ is $-4.2$ , not $-4.1$ .

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