2y-6(x+9)=1(3-2y)+7x

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Solution for 2y-6(x+9)=1(3-2y)+7x equation:


Simplifying
2y + -6(x + 9) = 1(3 + -2y) + 7x

Reorder the terms:
2y + -6(9 + x) = 1(3 + -2y) + 7x
2y + (9 * -6 + x * -6) = 1(3 + -2y) + 7x
2y + (-54 + -6x) = 1(3 + -2y) + 7x

Reorder the terms:
-54 + -6x + 2y = 1(3 + -2y) + 7x
-54 + -6x + 2y = (3 * 1 + -2y * 1) + 7x
-54 + -6x + 2y = (3 + -2y) + 7x

Reorder the terms:
-54 + -6x + 2y = 3 + 7x + -2y

Solving
-54 + -6x + 2y = 3 + 7x + -2y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-54 + -6x + -7x + 2y = 3 + 7x + -7x + -2y

Combine like terms: -6x + -7x = -13x
-54 + -13x + 2y = 3 + 7x + -7x + -2y

Combine like terms: 7x + -7x = 0
-54 + -13x + 2y = 3 + 0 + -2y
-54 + -13x + 2y = 3 + -2y

Add '54' to each side of the equation.
-54 + -13x + 54 + 2y = 3 + 54 + -2y

Reorder the terms:
-54 + 54 + -13x + 2y = 3 + 54 + -2y

Combine like terms: -54 + 54 = 0
0 + -13x + 2y = 3 + 54 + -2y
-13x + 2y = 3 + 54 + -2y

Combine like terms: 3 + 54 = 57
-13x + 2y = 57 + -2y

Add '-2y' to each side of the equation.
-13x + 2y + -2y = 57 + -2y + -2y

Combine like terms: 2y + -2y = 0
-13x + 0 = 57 + -2y + -2y
-13x = 57 + -2y + -2y

Combine like terms: -2y + -2y = -4y
-13x = 57 + -4y

Divide each side by '-13'.
x = -4.384615385 + 0.3076923077y

Simplifying
x = -4.384615385 + 0.3076923077y

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