Mister Exam

4(x-6)=7(x+9) equation

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Numerical solution:

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The solution

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4*(x - 6) = 7*(x + 9)
$$4 \left(x - 6\right) = 7 \left(x + 9\right)$$
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
The graph
Sum and product of roots [src]
sum
-29
$$-29$$
=
-29
$$-29$$
product
-29
$$-29$$
=
-29
$$-29$$
-29
Rapid solution [src]
x1 = -29
$$x_{1} = -29$$
x1 = -29
Numerical answer [src]
x1 = -29.0
x1 = -29.0
The graph
4(x-6)=7(x+9) equation