41=3x-2(5y+4)

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Solution for 41=3x-2(5y+4) equation:


Simplifying
41 = 3x + -2(5y + 4)

Reorder the terms:
41 = 3x + -2(4 + 5y)
41 = 3x + (4 * -2 + 5y * -2)
41 = 3x + (-8 + -10y)

Reorder the terms:
41 = -8 + 3x + -10y

Solving
41 = -8 + 3x + -10y

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.
41 + -3x = -8 + 3x + -3x + -10y

Combine like terms: 3x + -3x = 0
41 + -3x = -8 + 0 + -10y
41 + -3x = -8 + -10y

Add '-41' to each side of the equation.
41 + -41 + -3x = -8 + -41 + -10y

Combine like terms: 41 + -41 = 0
0 + -3x = -8 + -41 + -10y
-3x = -8 + -41 + -10y

Combine like terms: -8 + -41 = -49
-3x = -49 + -10y

Divide each side by '-3'.
x = 16.33333333 + 3.333333333y

Simplifying
x = 16.33333333 + 3.333333333y

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