[5x-6(-2x-5)]=(39+8x)

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Solution for [5x-6(-2x-5)]=(39+8x) equation:


Simplifying
[5x + -6(-2x + -5)] = (39 + 8x)

Reorder the terms:
[5x + -6(-5 + -2x)] = (39 + 8x)
[5x + (-5 * -6 + -2x * -6)] = (39 + 8x)
[5x + (30 + 12x)] = (39 + 8x)

Reorder the terms:
[30 + 5x + 12x] = (39 + 8x)

Combine like terms: 5x + 12x = 17x
[30 + 17x] = (39 + 8x)

Remove brackets around [30 + 17x]
30 + 17x = (39 + 8x)

Remove parenthesis around (39 + 8x)
30 + 17x = 39 + 8x

Solving
30 + 17x = 39 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + 17x + -8x = 39 + 8x + -8x

Combine like terms: 17x + -8x = 9x
30 + 9x = 39 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + 9x = 39 + 0
30 + 9x = 39

Add '-30' to each side of the equation.
30 + -30 + 9x = 39 + -30

Combine like terms: 30 + -30 = 0
0 + 9x = 39 + -30
9x = 39 + -30

Combine like terms: 39 + -30 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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