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

User Comatose
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2 Answers

22 votes
22 votes
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.
User Matvey Aksenov
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3.5k points
15 votes
15 votes

Answer:

x=4

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

User Chbrown
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2.7k points