Question

How can I simplify the equation 2(3x-4=8)? Please give a step by step explanation.

Answer 1

Ans: 8/3
Solution: 2(3x-4)=8
Divide by 2 on both sides
3x-4=4
Take 4 to RHS
3x=8
Divide by 3 on both sides
Thus, x= 8/3
Hope it helps.

Answer 2

Answer:
`(8)/(3)`

Explanation:

To simplify 2(3x-4)=8, you have to use order of operations.

First and foremost you need to know GEMDAS:

G = Grouping brackets

E = Exponents/Roots

M = Multiplication

D = Division

A = Addition

S = Subtraction

When looking at the equation, we see (3x-4) is in parenthesis which is a grouping bracket, which means that first that should be solved. Since the expression is the parenthesis can't be simplified anymore, we need to multiply it by the 2.

2·3x=6x and -4·2=-8.

Now, we have 6x-8=8

From here, we need to isolate the x variable. To do that, first we will get rid of the 8 by using inverse operations by adding 8 to both sides. The -8 and 8 cancel out on one side, but 8 and 8 add to become 16 on the other. Now we have 6x=16.

To solve this, now do
`(16)/(6)` which simplifies to 2
`(2)/(3)`,
`(8)/(3)` or 2.66666666667

Hope that helped a lot.

:)