41=3x+4(x-2)

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


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

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

Reorder the terms:
41 = -8 + 3x + 4x

Combine like terms: 3x + 4x = 7x
41 = -8 + 7x

Solving
41 = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
41 + -7x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
41 + -7x = -8 + 0
41 + -7x = -8

Add '-41' to each side of the equation.
41 + -41 + -7x = -8 + -41

Combine like terms: 41 + -41 = 0
0 + -7x = -8 + -41
-7x = -8 + -41

Combine like terms: -8 + -41 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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