2(x+40)=8x+9-5x

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Solution for 2(x+40)=8x+9-5x equation:


Simplifying
2(x + 40) = 8x + 9 + -5x

Reorder the terms:
2(40 + x) = 8x + 9 + -5x
(40 * 2 + x * 2) = 8x + 9 + -5x
(80 + 2x) = 8x + 9 + -5x

Reorder the terms:
80 + 2x = 9 + 8x + -5x

Combine like terms: 8x + -5x = 3x
80 + 2x = 9 + 3x

Solving
80 + 2x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
80 + 2x + -3x = 9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
80 + -1x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
80 + -1x = 9 + 0
80 + -1x = 9

Add '-80' to each side of the equation.
80 + -80 + -1x = 9 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 9 + -80
-1x = 9 + -80

Combine like terms: 9 + -80 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71

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