4(x-6)=7(x+9) equation
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The solution
Detail solution
Given the linear equation:
4*(x-6) = 7*(x+9)
Expand brackets in the left part
4*x-4*6 = 7*(x+9)
Expand brackets in the right part
4*x-4*6 = 7*x+7*9
Move free summands (without x)
from left part to right part, we given:
$$4 x = 7 x + 87$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = 87$$
Divide both parts of the equation by -3
x = 87 / (-3)
We get the answer: x = -29
Sum and product of roots
[src]
$$-29$$
$$-29$$
$$-29$$
$$-29$$