To simplify the expression 4 x − 2 ( 3 x − 5 ) , we'll go through the steps of distribution and combining like terms:
Distribute the − 2 through the parentheses:
We start by distributing − 2 to both terms inside the parentheses:
− 2 × 3 x = − 6 x
− 2 × − 5 = + 10
This gives us the new expression: 4 x − 6 x + 10 .
Combine like terms:
Combine the x -terms by subtracting 6 x from 4 x :
4 x − 6 x = − 2 x
So the expression now is − 2 x + 10 .
Therefore, the simplified form of the expression is − 2 x + 10 .
In summary, by distributing and combining like terms, we have simplified the expression to − 2 x + 10 .
The simplified form of the expression 4 x − 2 ( 3 x − 5 ) is − 2 x + 10 . This is achieved by distributing and combining like terms. The process involves multiplying the − 2 by each term in the parentheses, and then simplifying the resulting expression.
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