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5x+6(x-2)-8(x-3) simplify the expression

Sagot :

Final Answer: [tex]3x + 12[/tex]

Steps/Reasons/Explanation:

Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].

Step 1: Expand by distributing terms.

[tex]5x + 6x - 12 - 8(x - 3)[/tex]

Step 2: Expand by distributing terms.

[tex]5x + 6x - 12 - (8x - 24)[/tex]

Step 3: Remove parentheses.

[tex]5x + 6x - 12 - 8x + 24[/tex]

Step 4: Collect like terms.

[tex](5x + 6x - 8x) + (-12 + 24)[/tex]

Step 5: Simplify.

[tex]3x + 12[/tex]

~I hope I helped you :)~

I hate math

First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)

Your equation after should be

5x + 6x - 12 - 8x + 24

Next would be addition, don't forget it's always left to right.

11x - 12 - 8x + 24

Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).

11x - 8x + 12

Next, subtract the two remaining x values.

3x + 12

And there you have it. Easy peasy.

If the case is trying to find x, just solve it like this.

3x = -12

x = 4