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- 6(x+2)=30x+12(x-3)
6(x+2)=30x-12(x-3) equation
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The solution
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6*(x + 2) = 30*x - 12*(x - 3)
$$6 \left(x + 2\right) = 30 x - 12 \left(x - 3\right)$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$6 x = 18 x + 24$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-12\right) x = 24$$
Divide both parts of the equation by -12
We get the answer: x = -2
6*(x+2) = 30*x-12*(x-3)
Expand brackets in the left part
6*x+6*2 = 30*x-12*(x-3)
Expand brackets in the right part
6*x+6*2 = 30*x-12*x+12*3
Looking for similar summands in the right part:
12 + 6*x = 36 + 18*x
Move free summands (without x)
from left part to right part, we given:
$$6 x = 18 x + 24$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-12\right) x = 24$$
Divide both parts of the equation by -12
x = 24 / (-12)
We get the answer: x = -2