Mister Exam

Other calculators

9x-3(x-1)=-2x equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
9*x - 3*(x - 1) = -2*x
$$9 x - 3 \left(x - 1\right) = - 2 x$$
Detail solution
Given the linear equation:
9*x-3*(x-1) = -2*x

Expand brackets in the left part
9*x-3*x+3*1 = -2*x

Looking for similar summands in the left part:
3 + 6*x = -2*x

Move free summands (without x)
from left part to right part, we given:
$$6 x = - 2 x - 3$$
Move the summands with the unknown x
from the right part to the left part:
$$8 x = -3$$
Divide both parts of the equation by 8
x = -3 / (8)

We get the answer: x = -3/8
The graph
Rapid solution [src]
x1 = -3/8
$$x_{1} = - \frac{3}{8}$$
x1 = -3/8
Sum and product of roots [src]
sum
-3/8
$$- \frac{3}{8}$$
=
-3/8
$$- \frac{3}{8}$$
product
-3/8
$$- \frac{3}{8}$$
=
-3/8
$$- \frac{3}{8}$$
-3/8
Numerical answer [src]
x1 = -0.375
x1 = -0.375