Question

x + y - 2(3x - 4y + 3)
3​

Answer 1

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