2[9-(-2x-5)]=16x+58

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Solution for 2[9-(-2x-5)]=16x+58 equation:


Simplifying
2[9 + -1(-2x + -5)] = 16x + 58

Reorder the terms:
2[9 + -1(-5 + -2x)] = 16x + 58
2[9 + (-5 * -1 + -2x * -1)] = 16x + 58
2[9 + (5 + 2x)] = 16x + 58

Combine like terms: 9 + 5 = 14
2[14 + 2x] = 16x + 58
[14 * 2 + 2x * 2] = 16x + 58
[28 + 4x] = 16x + 58

Reorder the terms:
28 + 4x = 58 + 16x

Solving
28 + 4x = 58 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
28 + 4x + -16x = 58 + 16x + -16x

Combine like terms: 4x + -16x = -12x
28 + -12x = 58 + 16x + -16x

Combine like terms: 16x + -16x = 0
28 + -12x = 58 + 0
28 + -12x = 58

Add '-28' to each side of the equation.
28 + -28 + -12x = 58 + -28

Combine like terms: 28 + -28 = 0
0 + -12x = 58 + -28
-12x = 58 + -28

Combine like terms: 58 + -28 = 30
-12x = 30

Divide each side by '-12'.
x = -2.5

Simplifying
x = -2.5

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