6(2x-(7-2y+5x)+3y)=

Solution for 6(2x-(7-2y+5x)+3y)= equation:

Simplifying
6(2x + -1(7 + -2y + 5x) + 3y) = 0

Reorder the terms:
6(2x + -1(7 + 5x + -2y) + 3y) = 0
6(2x + (7 * -1 + 5x * -1 + -2y * -1) + 3y) = 0
6(2x + (-7 + -5x + 2y) + 3y) = 0

Reorder the terms:
6(-7 + 2x + -5x + 2y + 3y) = 0

Combine like terms: 2x + -5x = -3x
6(-7 + -3x + 2y + 3y) = 0

Combine like terms: 2y + 3y = 5y
6(-7 + -3x + 5y) = 0
(-7 * 6 + -3x * 6 + 5y * 6) = 0
(-42 + -18x + 30y) = 0

Solving
-42 + -18x + 30y = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + -18x + 42 + 30y = 0 + 42

Reorder the terms:
-42 + 42 + -18x + 30y = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -18x + 30y = 0 + 42
-18x + 30y = 0 + 42

Combine like terms: 0 + 42 = 42
-18x + 30y = 42

Add '-30y' to each side of the equation.
-18x + 30y + -30y = 42 + -30y

Combine like terms: 30y + -30y = 0
-18x + 0 = 42 + -30y
-18x = 42 + -30y

Divide each side by '-18'.
x = -2.333333333 + 1.666666667y

Simplifying
x = -2.333333333 + 1.666666667y