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

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


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

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

Reorder the terms:
-12 + 6 + -2x = 8(x + 2) + 5

Combine like terms: -12 + 6 = -6
-6 + -2x = 8(x + 2) + 5

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

Reorder the terms:
-6 + -2x = 16 + 5 + 8x

Combine like terms: 16 + 5 = 21
-6 + -2x = 21 + 8x

Solving
-6 + -2x = 21 + 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.
-6 + -2x + -8x = 21 + 8x + -8x

Combine like terms: -2x + -8x = -10x
-6 + -10x = 21 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -10x = 21 + 0
-6 + -10x = 21

Add '6' to each side of the equation.
-6 + 6 + -10x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + -10x = 21 + 6
-10x = 21 + 6

Combine like terms: 21 + 6 = 27
-10x = 27

Divide each side by '-10'.
x = -2.7

Simplifying
x = -2.7

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