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

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


Simplifying
7(2 + 2x) = 4(-1x + -4)
(2 * 7 + 2x * 7) = 4(-1x + -4)
(14 + 14x) = 4(-1x + -4)

Reorder the terms:
14 + 14x = 4(-4 + -1x)
14 + 14x = (-4 * 4 + -1x * 4)
14 + 14x = (-16 + -4x)

Solving
14 + 14x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
14 + 14x + 4x = -16 + -4x + 4x

Combine like terms: 14x + 4x = 18x
14 + 18x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + 18x = -16 + 0
14 + 18x = -16

Add '-14' to each side of the equation.
14 + -14 + 18x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + 18x = -16 + -14
18x = -16 + -14

Combine like terms: -16 + -14 = -30
18x = -30

Divide each side by '18'.
x = -1.666666667

Simplifying
x = -1.666666667

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