2x+4(41-x)=116

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Solution for 2x+4(41-x)=116 equation:


Simplifying
2x + 4(41 + -1x) = 116
2x + (41 * 4 + -1x * 4) = 116
2x + (164 + -4x) = 116

Reorder the terms:
164 + 2x + -4x = 116

Combine like terms: 2x + -4x = -2x
164 + -2x = 116

Solving
164 + -2x = 116

Solving for variable 'x'.

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

Add '-164' to each side of the equation.
164 + -164 + -2x = 116 + -164

Combine like terms: 164 + -164 = 0
0 + -2x = 116 + -164
-2x = 116 + -164

Combine like terms: 116 + -164 = -48
-2x = -48

Divide each side by '-2'.
x = 24

Simplifying
x = 24

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