7(x+2)+2=-7(x-10)-10

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Solution for 7(x+2)+2=-7(x-10)-10 equation:


Simplifying
7(x + 2) + 2 = -7(x + -10) + -10

Reorder the terms:
7(2 + x) + 2 = -7(x + -10) + -10
(2 * 7 + x * 7) + 2 = -7(x + -10) + -10
(14 + 7x) + 2 = -7(x + -10) + -10

Reorder the terms:
14 + 2 + 7x = -7(x + -10) + -10

Combine like terms: 14 + 2 = 16
16 + 7x = -7(x + -10) + -10

Reorder the terms:
16 + 7x = -7(-10 + x) + -10
16 + 7x = (-10 * -7 + x * -7) + -10
16 + 7x = (70 + -7x) + -10

Reorder the terms:
16 + 7x = 70 + -10 + -7x

Combine like terms: 70 + -10 = 60
16 + 7x = 60 + -7x

Solving
16 + 7x = 60 + -7x

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.
16 + 7x + 7x = 60 + -7x + 7x

Combine like terms: 7x + 7x = 14x
16 + 14x = 60 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + 14x = 60 + 0
16 + 14x = 60

Add '-16' to each side of the equation.
16 + -16 + 14x = 60 + -16

Combine like terms: 16 + -16 = 0
0 + 14x = 60 + -16
14x = 60 + -16

Combine like terms: 60 + -16 = 44
14x = 44

Divide each side by '14'.
x = 3.142857143

Simplifying
x = 3.142857143

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