7(x+2)=5(x-2)+2(x+2)

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Solution for 7(x+2)=5(x-2)+2(x+2) equation:


Simplifying
7(x + 2) = 5(x + -2) + 2(x + 2)

Reorder the terms:
7(2 + x) = 5(x + -2) + 2(x + 2)
(2 * 7 + x * 7) = 5(x + -2) + 2(x + 2)
(14 + 7x) = 5(x + -2) + 2(x + 2)

Reorder the terms:
14 + 7x = 5(-2 + x) + 2(x + 2)
14 + 7x = (-2 * 5 + x * 5) + 2(x + 2)
14 + 7x = (-10 + 5x) + 2(x + 2)

Reorder the terms:
14 + 7x = -10 + 5x + 2(2 + x)
14 + 7x = -10 + 5x + (2 * 2 + x * 2)
14 + 7x = -10 + 5x + (4 + 2x)

Reorder the terms:
14 + 7x = -10 + 4 + 5x + 2x

Combine like terms: -10 + 4 = -6
14 + 7x = -6 + 5x + 2x

Combine like terms: 5x + 2x = 7x
14 + 7x = -6 + 7x

Add '-7x' to each side of the equation.
14 + 7x + -7x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + 0 = -6 + 7x + -7x
14 = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 = -6 + 0
14 = -6

Solving
14 = -6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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