Respuesta :
Answer:
x = 5
Step-by-step explanation:
-7(-1 + 3x) - 7x = -133
According to PEMDAS, we want to look at the parentheses first.
In this case, the expression within the parentheses is already fully simplified. There are no exponents, so we will move on to multiplication. Distribute the -7 across the parentheses.
7 - 21x - 7x = -133
Now combine the variables.
-21x - 7x + 7 = -133
-28x + 7 = -133
Now combine the constants.
-28x = -140
isolate x by dividing both sides by -28.
x = 5
Check this by plugging this value back into the original equation.
-7(-1 + 3(5)) - 7(5) = -133
Follow PEMDAS (the underlined values are the components we handled)
-7(-1 + 15) - 7(5) = -133
-7(14) - 7(5) = -133
-98 - 35) = -133
-133 = - 133
Your answer is correct.
Hope this helps!
Answer:
x = 5
Step-by-step explanation:
To solve an equation, isolate the variable.
1) Expand the left side of the equation. Distribute the -7 to the terms inside the parentheses.
[tex]-7(-1+3x)-7x = -133\\7 -21x-7x = -133[/tex]
2) Then, combine like terms. Combine -21x and -7x to make a single x-term and subtract both sides by -7.
[tex]7-28x=-133\\-28x=-140[/tex]
3) Then, divide both sides by -28 to find the answer.
[tex]-28x = -140\\x = 5[/tex]