Question

Solve for x.

3(3x - 1) + 2(3 - x) = 0


a. x = 3/7
b. x = -3/7
c. x = 1/3
d. x = -1/3

Answer 1

Simplifying
3(3x + -1) + 2(3 + -1x) = 0

Reorder the terms:
3(-1 + 3x) + 2(3 + -1x) = 0
(-1 * 3 + 3x * 3) + 2(3 + -1x) = 0
(-3 + 9x) + 2(3 + -1x) = 0
-3 + 9x + (3 * 2 + -1x * 2) = 0
-3 + 9x + (6 + -2x) = 0

Reorder the terms:
-3 + 6 + 9x + -2x = 0

Combine like terms: -3 + 6 = 3
3 + 9x + -2x = 0

Combine like terms: 9x + -2x = 7x
3 + 7x = 0

Solving
3 + 7x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

Which is B(: