Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 17x-8=20x+7
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Equation 2*x^2+6*x+9=
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Equation (x-2)^2=(x-9)^2
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Equation -x=8
- Express {x} in terms of y where:
- 17*x+20*y=-12
- 17*x+16*y=7
- -5*x+6*y=19
- 18*x-14*y=-12
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Identical expressions
- -x- two + three *(x- three)= two *(four -x)- seven
- minus x minus 2 plus 3 multiply by (x minus 3) equally 2 multiply by (4 minus x) minus 7
- minus x minus two plus three multiply by (x minus three) equally two multiply by (four minus x) minus seven
- -x-2+3(x-3)=2(4-x)-7
- -x-2+3x-3=24-x-7
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Similar expressions
- -x-2+3*(x-3)=2*(4-x)+7
- -x-2+3*(x-3)=2*(4+x)-7
- x-2+3*(x-3)=2*(4-x)-7
- -x-2+3*(x+3)=2*(4-x)-7
- (-x-2+3)(x-3)=3(4-x)-3
- -x-2-3*(x-3)=2*(4-x)-7
- -x-2+3(x-3)-3=3(4-x)-3
- -x+2+3*(x-3)=2*(4-x)-7
-x-2+3*(x-3)=2*(4-x)-7 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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-x - 2 + 3*(x - 3) = 2*(4 - x) - 7
$$\left(- x - 2\right) + 3 \left(x - 3\right) = 2 \left(4 - x\right) - 7$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$2 x = 12 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = 12$$
Divide both parts of the equation by 4
We get the answer: x = 3
-x-2+3*(x-3) = 2*(4-x)-7
Expand brackets in the left part
-x-2+3*x-3*3 = 2*(4-x)-7
Expand brackets in the right part
-x-2+3*x-3*3 = 2*4-2*x-7
Looking for similar summands in the left part:
-11 + 2*x = 2*4-2*x-7
Looking for similar summands in the right part:
-11 + 2*x = 1 - 2*x
Move free summands (without x)
from left part to right part, we given:
$$2 x = 12 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = 12$$
Divide both parts of the equation by 4
x = 12 / (4)
We get the answer: x = 3