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Solve for [tex]\(a\)[/tex]:
[tex]\[ 3a + 4 = -11 - 2a \][/tex]

Sagot :

GinnyAnsweridn
Let's solve the equation step-by-step:

The given equation is:
[tex]\[ 3a + 4 = -11 - 2a \][/tex]

1. First, we'll move all terms involving [tex]\(a\)[/tex] to one side of the equation and constants to the other side. To do this, add [tex]\(2a\)[/tex] to both sides:

[tex]\[ 3a + 4 + 2a = -11 - 2a + 2a \][/tex]

2. This simplifies to:

[tex]\[ 5a + 4 = -11 \][/tex]

3. Next, subtract 4 from both sides to isolate the [tex]\(5a\)[/tex] term:

[tex]\[ 5a + 4 - 4 = -11 - 4 \][/tex]

4. This simplifies to:

[tex]\[ 5a = -15 \][/tex]

5. Finally, divide both sides by 5 to solve for [tex]\(a\)[/tex]:

[tex]\[ a = \frac{-15}{5} \][/tex]

6. Simplify the fraction:

[tex]\[ a = -3 \][/tex]

The solution to the equation [tex]\(3a + 4 = -11 - 2a\)[/tex] is:
[tex]\[ a = -3 \][/tex]
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