14-(5x-2)=2(x+8)

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Solution for 14-(5x-2)=2(x+8) equation:


Simplifying
14 + -1(5x + -2) = 2(x + 8)

Reorder the terms:
14 + -1(-2 + 5x) = 2(x + 8)
14 + (-2 * -1 + 5x * -1) = 2(x + 8)
14 + (2 + -5x) = 2(x + 8)

Combine like terms: 14 + 2 = 16
16 + -5x = 2(x + 8)

Reorder the terms:
16 + -5x = 2(8 + x)
16 + -5x = (8 * 2 + x * 2)
16 + -5x = (16 + 2x)

Add '-16' to each side of the equation.
16 + -16 + -5x = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
0 + -5x = 16 + -16 + 2x
-5x = 16 + -16 + 2x

Combine like terms: 16 + -16 = 0
-5x = 0 + 2x
-5x = 2x

Solving
-5x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5x + -2x = 2x + -2x

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

Combine like terms: 2x + -2x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0

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