Question

Solve the equation -3+1+10x=x+4
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Answer 1

x = 2/3

Explanation:

combine -3 and 1. We get -2 there, and now have:

-2 + 10x = x + 4.

Combining the x terms, we get 9x = 6, so that x = 6/9, or x = 2/3

Answer 2

The value of x is
`(2)/(3)`

Explanation:

To solve equations an effective method consists of:

• Group the terms with a variable on one side of equality, usually the first member, and the independent ones (without being accompanied by the variable) on the other side.
• Operate whenever possible to simplify the expression. This implies eliminating parentheses and denominators if any.
• Isolate the unknown or variable.

To pass elements from one side of equality to the other, it must be taken into account that:

• If they are adding or subtracting they go to the other side with the opposite sign.
• If they are multiplying they pass dividing and vice versa, but the sign does not change when changing sides.

Applied as mentioned above in the given equation:

-3+1+10*x=x+4

10*x-x=4+3-1

(10-1)*x=6

9*x=6

`x=(6)/(9)`

The simplification of a fraction consists in transforming it into a simpler equivalent fraction.

In the simplification of fractions, numerator and denominator are divided by the same number. In this case it is divided by 3 and you get:

`x=(6)/(9) =((6)/(3) )/((9)/(3) ) =(2)/(3)`

Finally the value of x is
`(2)/(3)`