Mister Exam

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4x+2*(1-3x)=13 equation

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

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4*x + 2*(1 - 3*x) = 13

$$4 x + 2 \left(1 - 3 x\right) = 13$$

Simplify

Detail solution

Given the linear equation:

4*x+2*(1-3*x) = 13

Expand brackets in the left part

4*x+2*1-2*3*x = 13

Looking for similar summands in the left part:

2 - 2*x = 13

Move free summands (without x)
from left part to right part, we given:
$$- 2 x = 11$$
Divide both parts of the equation by -2

x = 11 / (-2)

We get the answer: x = -11/2

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

-11/2

$$- \frac{11}{2}$$

-11/2

$$- \frac{11}{2}$$

product

-11/2

$$- \frac{11}{2}$$

-11/2

$$- \frac{11}{2}$$

-11/2

Rapid solution [src]

x1 = -11/2

$$x_{1} = - \frac{11}{2}$$

x1 = -11/2

Numerical answer [src]

x1 = -5.5

x1 = -5.5

The graph