[(40-2x)+x]*2=(7+2x)*2

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Solution for [(40-2x)+x]*2=(7+2x)*2 equation:


Simplifying
[(40 + -2x) + x] * 2 = (7 + 2x) * 2

Remove parenthesis around (40 + -2x)
[40 + -2x + x] * 2 = (7 + 2x) * 2

Combine like terms: -2x + x = -1x
[40 + -1x] * 2 = (7 + 2x) * 2

Reorder the terms for easier multiplication:
2[40 + -1x] = (7 + 2x) * 2
[40 * 2 + -1x * 2] = (7 + 2x) * 2
[80 + -2x] = (7 + 2x) * 2

Reorder the terms for easier multiplication:
80 + -2x = 2(7 + 2x)
80 + -2x = (7 * 2 + 2x * 2)
80 + -2x = (14 + 4x)

Solving
80 + -2x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
80 + -2x + -4x = 14 + 4x + -4x

Combine like terms: -2x + -4x = -6x
80 + -6x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
80 + -6x = 14 + 0
80 + -6x = 14

Add '-80' to each side of the equation.
80 + -80 + -6x = 14 + -80

Combine like terms: 80 + -80 = 0
0 + -6x = 14 + -80
-6x = 14 + -80

Combine like terms: 14 + -80 = -66
-6x = -66

Divide each side by '-6'.
x = 11

Simplifying
x = 11

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