3(x+2)-5(2x-8)=40+2x

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Solution for 3(x+2)-5(2x-8)=40+2x equation: 


Simplifying
3(x + 2) + -5(2x + -8) = 40 + 2x

Reorder the terms:
3(2 + x) + -5(2x + -8) = 40 + 2x
(2 * 3 + x * 3) + -5(2x + -8) = 40 + 2x
(6 + 3x) + -5(2x + -8) = 40 + 2x

Reorder the terms:
6 + 3x + -5(-8 + 2x) = 40 + 2x
6 + 3x + (-8 * -5 + 2x * -5) = 40 + 2x
6 + 3x + (40 + -10x) = 40 + 2x

Reorder the terms:
6 + 40 + 3x + -10x = 40 + 2x

Combine like terms: 6 + 40 = 46
46 + 3x + -10x = 40 + 2x

Combine like terms: 3x + -10x = -7x
46 + -7x = 40 + 2x

Solving
46 + -7x = 40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
46 + -7x + -2x = 40 + 2x + -2x

Combine like terms: -7x + -2x = -9x
46 + -9x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
46 + -9x = 40 + 0
46 + -9x = 40

Add '-46' to each side of the equation.
46 + -46 + -9x = 40 + -46

Combine like terms: 46 + -46 = 0
0 + -9x = 40 + -46
-9x = 40 + -46

Combine like terms: 40 + -46 = -6
-9x = -6

Divide each side by '-9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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