For the equation: 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7 , the right side of the equation can be simplified by combining like terms.
Simplify 9 - 3x + 6 + 8 + 3x + 7 :
2(x - 5) can be simplified using the Distributive Property.
Simplify 2(x - 5):
2x - 10
Simplify 9 - 3x + 6 + 8 + 3x + 7:
18 + 6x
To simplify the expression 2(x - 5), we need to apply the Distributive Property. This property states that when we have a number outside of parentheses and multiplied by an expression inside the parentheses, we need to multiply the number by each term inside the parentheses.
In this case, we have 2 multiplied by (x - 5). We can distribute the 2 to both the x term and the -5 term.
Multiplying the 2 by x, we get 2x.
Multiplying the 2 by -5, we get -10.
So, 2(x - 5) simplifies to 2x - 10.
Now, let's simplify the right side of the equation: 9 - 3x + 6 + 8 + 3x + 7.
To do this, we combine like terms. Like terms are terms that have the same variable(s) raised to the same power(s).
In this expression, we have two terms with x, which are -3x and 3x. When we add or subtract these terms, the x term cancels out.
So, -3x + 3x is equal to 0x, which simplifies to 0.
Now, let's add the constants (numbers without variables): 9 + 6 + 8 + 7.
Adding these numbers gives us 30.
Therefore, the right side of the equation simplifies to 0 + 30, which is just 30.
So, the simplified form of 9 - 3x + 6 + 8 + 3x + 7 is 30.
To simplify 2(x - 5), we distribute the 2 to both terms inside the parentheses:
2 × x - 2 × 5
This simplifies to:
2x - 10