-2(x+y)=4-7(2x+7)

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


Simplifying
-2(x + y) = 4 + -7(2x + 7)
(x * -2 + y * -2) = 4 + -7(2x + 7)
(-2x + -2y) = 4 + -7(2x + 7)

Reorder the terms:
-2x + -2y = 4 + -7(7 + 2x)
-2x + -2y = 4 + (7 * -7 + 2x * -7)
-2x + -2y = 4 + (-49 + -14x)

Combine like terms: 4 + -49 = -45
-2x + -2y = -45 + -14x

Solving
-2x + -2y = -45 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-2x + 14x + -2y = -45 + -14x + 14x

Combine like terms: -2x + 14x = 12x
12x + -2y = -45 + -14x + 14x

Combine like terms: -14x + 14x = 0
12x + -2y = -45 + 0
12x + -2y = -45

Add '2y' to each side of the equation.
12x + -2y + 2y = -45 + 2y

Combine like terms: -2y + 2y = 0
12x + 0 = -45 + 2y
12x = -45 + 2y

Divide each side by '12'.
x = -3.75 + 0.1666666667y

Simplifying
x = -3.75 + 0.1666666667y

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