2(10x+8)-1=5(x-6)

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Solution for 2(10x+8)-1=5(x-6) equation: 


Simplifying
2(10x + 8) + -1 = 5(x + -6)

Reorder the terms:
2(8 + 10x) + -1 = 5(x + -6)
(8 * 2 + 10x * 2) + -1 = 5(x + -6)
(16 + 20x) + -1 = 5(x + -6)

Reorder the terms:
16 + -1 + 20x = 5(x + -6)

Combine like terms: 16 + -1 = 15
15 + 20x = 5(x + -6)

Reorder the terms:
15 + 20x = 5(-6 + x)
15 + 20x = (-6 * 5 + x * 5)
15 + 20x = (-30 + 5x)

Solving
15 + 20x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 20x + -5x = -30 + 5x + -5x

Combine like terms: 20x + -5x = 15x
15 + 15x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 15x = -30 + 0
15 + 15x = -30

Add '-15' to each side of the equation.
15 + -15 + 15x = -30 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = -30 + -15
15x = -30 + -15

Combine like terms: -30 + -15 = -45
15x = -45

Divide each side by '15'.
x = -3

Simplifying
x = -3

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