solve for x 5x + 34 = -2(1 - 7x)
5 x + 34 = -2 + 14 x ??
36 = 9 x
x = 36 / 9
5x + 34 = -2(1 - 7x)
5x + 34 = -2 + 14x
34+2 = 14x - 5x
36 = 9x
4 = x
check: does 5x + 34 = -2(1 - 7x) ?
5*4 + 34 = -2(1 - 7*4)
20 + 34 = -2(-27)
54 = 54
Looks good to me.
To solve for x in the equation 5x + 34 = -2(1 - 7x), let's start by simplifying both sides of the equation.
First, distribute -2 to the terms inside the parentheses on the right side:
-2(1 - 7x) = -2 * 1 + (-2) * (-7x) = -2 + 14x
Now we have the equation:
5x + 34 = -2 + 14x
Next, let's gather the terms with x on one side of the equation and the constant terms on the other side. To do this, we can subtract 5x from both sides of the equation:
5x - 5x + 34 = -2 + 14x - 5x
Simplifying gives us:
34 = -2 + 9x
To isolate x, we can subtract -2 from both sides of the equation:
34 - (-2) = 9x
Simplifying further:
34 + 2 = 9x
36 = 9x
Finally, to solve for x, divide both sides of the equation by 9:
36/9 = x
Simplifying gives us:
4 = x
Therefore, the solution to the equation 5x + 34 = -2(1 - 7x) is x = 4.