8-6(2x+3y)-[3x-(2-5y)]=

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Solution for 8-6(2x+3y)-[3x-(2-5y)]= equation:


Simplifying
8 + -6(2x + 3y) + -1[3x + -1(2 + -5y)] = 0
8 + (2x * -6 + 3y * -6) + -1[3x + -1(2 + -5y)] = 0
8 + (-12x + -18y) + -1[3x + -1(2 + -5y)] = 0
8 + -12x + -18y + -1[3x + (2 * -1 + -5y * -1)] = 0
8 + -12x + -18y + -1[3x + (-2 + 5y)] = 0

Reorder the terms:
8 + -12x + -18y + -1[-2 + 3x + 5y] = 0
8 + -12x + -18y + [-2 * -1 + 3x * -1 + 5y * -1] = 0
8 + -12x + -18y + [2 + -3x + -5y] = 0

Reorder the terms:
8 + 2 + -12x + -3x + -18y + -5y = 0

Combine like terms: 8 + 2 = 10
10 + -12x + -3x + -18y + -5y = 0

Combine like terms: -12x + -3x = -15x
10 + -15x + -18y + -5y = 0

Combine like terms: -18y + -5y = -23y
10 + -15x + -23y = 0

Solving
10 + -15x + -23y = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -15x + -10 + -23y = 0 + -10

Reorder the terms:
10 + -10 + -15x + -23y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -15x + -23y = 0 + -10
-15x + -23y = 0 + -10

Combine like terms: 0 + -10 = -10
-15x + -23y = -10

Add '23y' to each side of the equation.
-15x + -23y + 23y = -10 + 23y

Combine like terms: -23y + 23y = 0
-15x + 0 = -10 + 23y
-15x = -10 + 23y

Divide each side by '-15'.
x = 0.6666666667 + -1.533333333y

Simplifying
x = 0.6666666667 + -1.533333333y

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