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Identical expressions
- three (x+ one)- nine = six (x+ two)
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Similar expressions
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3(x+1)-9=6(x+2) equation
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The solution
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3*(x + 1) - 9 = 6*(x + 2)
$$3 \left(x + 1\right) - 9 = 6 \left(x + 2\right)$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$3 x = 6 x + 18$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = 18$$
Divide both parts of the equation by -3
We get the answer: x = -6
3*(x+1)-9 = 6*(x+2)
Expand brackets in the left part
3*x+3*1-9 = 6*(x+2)
Expand brackets in the right part
3*x+3*1-9 = 6*x+6*2
Looking for similar summands in the left part:
-6 + 3*x = 6*x+6*2
Move free summands (without x)
from left part to right part, we given:
$$3 x = 6 x + 18$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = 18$$
Divide both parts of the equation by -3
x = 18 / (-3)
We get the answer: x = -6