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

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


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

Reorder the terms:
-2(2 + x) + 6 = 8(x + 5) + 1
(2 * -2 + x * -2) + 6 = 8(x + 5) + 1
(-4 + -2x) + 6 = 8(x + 5) + 1

Reorder the terms:
-4 + 6 + -2x = 8(x + 5) + 1

Combine like terms: -4 + 6 = 2
2 + -2x = 8(x + 5) + 1

Reorder the terms:
2 + -2x = 8(5 + x) + 1
2 + -2x = (5 * 8 + x * 8) + 1
2 + -2x = (40 + 8x) + 1

Reorder the terms:
2 + -2x = 40 + 1 + 8x

Combine like terms: 40 + 1 = 41
2 + -2x = 41 + 8x

Solving
2 + -2x = 41 + 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.
2 + -2x + -8x = 41 + 8x + -8x

Combine like terms: -2x + -8x = -10x
2 + -10x = 41 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -10x = 41 + 0
2 + -10x = 41

Add '-2' to each side of the equation.
2 + -2 + -10x = 41 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = 41 + -2
-10x = 41 + -2

Combine like terms: 41 + -2 = 39
-10x = 39

Divide each side by '-10'.
x = -3.9

Simplifying
x = -3.9

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