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ki77a [65]
2 years ago
15

3(x+2)=2(x+5) find the solution

Mathematics
2 answers:
rjkz [21]2 years ago
7 0
X equals 4.

First use the distributive property on both the left and right side of the equation.

3(x + 2) = 2(x +5) becomes —>
3x + 6 = 2x + 10.

Isolate the variables on one side of the equation and the constants on the other sides.

3x + 6 = 2x + 10.

Subtract 2x from each side to get the variables on one side.

X + 6 = 10.

Subtract 6 from both sides to get isolate the constant on the other side of the equation.

That leaves:

X = 4.

X = 4.
ankoles [38]2 years ago
4 0

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x+2)=2(x+5)

(3)(x)+(3)(2)=(2)(x)+(2)(5)(Distribute)

3x+6=2x+10

Step 2: Subtract 2x from both sides.

3x+6−2x=2x+10−2x

x+6=10

Step 3: Subtract 6 from both sides.

x+6−6=10−6

x=4

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The answer is C: 10\text{ }^1/_2. Here are the details:

\text{Equation:}\\ 6\text{ }^1/_3+10\text{ }^1/_2\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{Start with the integers.}\\ 6+10=16\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{...then with the fractions, but rewrite them first to make it easier.}\\ ^1/_3+\text{ }^1/_2\stackrel{\text{rewrite}}{\to}\text{ }^2/_6+\text{ }^3/_6=\text{ }^5/_6\stackrel{?}{=}26\text{ }^1/_6\\
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\text{Equation:}\\
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^5/_6+\text{ }^5/_6=\text{ }^{10}/_6\stackrel{\text{rewrite}}{\to}\text{ }^5/_3\stackrel{\text{rewrite}}{\to}1\text{ }^2/_3\stackrel{?}{=}26\text{ }^1/_6\\
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