Solve Equations with One Unknown using additon and multiplication

label Algebra
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What are the exact steps of solving one unknown using addition and multiplication principles?

Thanks!

Example:

2(3x - 1) + 4x - 14

May 20th, 2015

This is what you do;

You  evaluate what is enclosed in brackets first and any multiplication or division attached to it.

With the example above you values in the brackets by 2

2(3x-1) becomes

(2 x 3x) - (2 x 1)

=6x-2

Append the second part on the expression

6x-2+4x-14

Group like terms together

6x + 4x - 2 - 14

=10x -16

Therefore the simplest form of the expression is 10x -16

Note that If there is an equal sign  at the end of the expression then you would move the -16 to the other side of the equal sign where it becomes 16 (Positive)

example

10x -16=4

Move -16 to the other side

10x=16 + 4

10x =20

Divide both sides by the coefficient of x

x=20/10

x=2


Let me know if you need any further clarification


May 20th, 2015

Thank you!

May 20th, 2015

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