x + y - 2(3x - 4y + 3)
3
Answers
Simplifying
x + y + -2(3x + -4y + 3) = 0
Reorder the terms:
x + y + -2(3 + 3x + -4y) = 0
x + y + (3 * -2 + 3x * -2 + -4y * -2) = 0
x + y + (-6 + -6x + 8y) = 0
Reorder the terms:
-6 + x + -6x + y + 8y = 0
Combine like terms: x + -6x = -5x
-6 + -5x + y + 8y = 0
Combine like terms: y + 8y = 9y
-6 + -5x + 9y = 0
Solving
-6 + -5x + 9y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + -5x + 6 + 9y = 0 + 6
Reorder the terms:
-6 + 6 + -5x + 9y = 0 + 6
Combine like terms: -6 + 6 = 0
0 + -5x + 9y = 0 + 6
-5x + 9y = 0 + 6
Combine like terms: 0 + 6 = 6
-5x + 9y = 6
Add '-9y' to each side of the equation.
-5x + 9y + -9y = 6 + -9y
Combine like terms: 9y + -9y = 0
-5x + 0 = 6 + -9y
-5x = 6 + -9y
Divide each side by '-5'.
x = -1.2 + 1.8y
Simplifying
x = -1.2 + 1.8y