71=5x-2(-2x-4)

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Solution for 71=5x-2(-2x-4) equation:


Simplifying
71 = 5x + -2(-2x + -4)

Reorder the terms:
71 = 5x + -2(-4 + -2x)
71 = 5x + (-4 * -2 + -2x * -2)
71 = 5x + (8 + 4x)

Reorder the terms:
71 = 8 + 5x + 4x

Combine like terms: 5x + 4x = 9x
71 = 8 + 9x

Solving
71 = 8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
71 + -9x = 8 + 9x + -9x

Combine like terms: 9x + -9x = 0
71 + -9x = 8 + 0
71 + -9x = 8

Add '-71' to each side of the equation.
71 + -71 + -9x = 8 + -71

Combine like terms: 71 + -71 = 0
0 + -9x = 8 + -71
-9x = 8 + -71

Combine like terms: 8 + -71 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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