-8+2(3x+5)=-5+(x-4)+8x

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Solution for -8+2(3x+5)=-5+(x-4)+8x equation: 


Simplifying
-8 + 2(3x + 5) = -5 + (x + -4) + 8x

Reorder the terms:
-8 + 2(5 + 3x) = -5 + (x + -4) + 8x
-8 + (5 * 2 + 3x * 2) = -5 + (x + -4) + 8x
-8 + (10 + 6x) = -5 + (x + -4) + 8x

Combine like terms: -8 + 10 = 2
2 + 6x = -5 + (x + -4) + 8x

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

Remove parenthesis around (-4 + x)
2 + 6x = -5 + -4 + x + 8x

Combine like terms: -5 + -4 = -9
2 + 6x = -9 + x + 8x

Combine like terms: x + 8x = 9x
2 + 6x = -9 + 9x

Solving
2 + 6x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 6x + -9x = -9 + 9x + -9x

Combine like terms: 6x + -9x = -3x
2 + -3x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -3x = -9 + 0
2 + -3x = -9

Add '-2' to each side of the equation.
2 + -2 + -3x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -9 + -2
-3x = -9 + -2

Combine like terms: -9 + -2 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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