2(8x+2)=3(2x-7)-5

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Solution for 2(8x+2)=3(2x-7)-5 equation: 


Simplifying
2(8x + 2) = 3(2x + -7) + -5

Reorder the terms:
2(2 + 8x) = 3(2x + -7) + -5
(2 * 2 + 8x * 2) = 3(2x + -7) + -5
(4 + 16x) = 3(2x + -7) + -5

Reorder the terms:
4 + 16x = 3(-7 + 2x) + -5
4 + 16x = (-7 * 3 + 2x * 3) + -5
4 + 16x = (-21 + 6x) + -5

Reorder the terms:
4 + 16x = -21 + -5 + 6x

Combine like terms: -21 + -5 = -26
4 + 16x = -26 + 6x

Solving
4 + 16x = -26 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 16x + -6x = -26 + 6x + -6x

Combine like terms: 16x + -6x = 10x
4 + 10x = -26 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 10x = -26 + 0
4 + 10x = -26

Add '-4' to each side of the equation.
4 + -4 + 10x = -26 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = -26 + -4
10x = -26 + -4

Combine like terms: -26 + -4 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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