4(3x+4)+7(6y-2)=a

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Solution for 4(3x+4)+7(6y-2)=a equation: 


Simplifying
4(3x + 4) + 7(6y + -2) = a

Reorder the terms:
4(4 + 3x) + 7(6y + -2) = a
(4 * 4 + 3x * 4) + 7(6y + -2) = a
(16 + 12x) + 7(6y + -2) = a

Reorder the terms:
16 + 12x + 7(-2 + 6y) = a
16 + 12x + (-2 * 7 + 6y * 7) = a
16 + 12x + (-14 + 42y) = a

Reorder the terms:
16 + -14 + 12x + 42y = a

Combine like terms: 16 + -14 = 2
2 + 12x + 42y = a

Solving
2 + 12x + 42y = a

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 12x + -2 + 42y = -2 + a

Reorder the terms:
2 + -2 + 12x + 42y = -2 + a

Combine like terms: 2 + -2 = 0
0 + 12x + 42y = -2 + a
12x + 42y = -2 + a

Add '-42y' to each side of the equation.
12x + 42y + -42y = -2 + a + -42y

Combine like terms: 42y + -42y = 0
12x + 0 = -2 + a + -42y
12x = -2 + a + -42y

Divide each side by '12'.
x = -0.1666666667 + 0.08333333333a + -3.5y

Simplifying
x = -0.1666666667 + 0.08333333333a + -3.5y

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