2(3x)+2(2x+22)+(x+41)=360

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Solution for 2(3x)+2(2x+22)+(x+41)=360 equation:


Simplifying
2(3x) + 2(2x + 22) + (x + 41) = 360

Remove parenthesis around (3x)
2 * 3x + 2(2x + 22) + (x + 41) = 360

Multiply 2 * 3
6x + 2(2x + 22) + (x + 41) = 360

Reorder the terms:
6x + 2(22 + 2x) + (x + 41) = 360
6x + (22 * 2 + 2x * 2) + (x + 41) = 360
6x + (44 + 4x) + (x + 41) = 360

Reorder the terms:
6x + 44 + 4x + (41 + x) = 360

Remove parenthesis around (41 + x)
6x + 44 + 4x + 41 + x = 360

Reorder the terms:
44 + 41 + 6x + 4x + x = 360

Combine like terms: 44 + 41 = 85
85 + 6x + 4x + x = 360

Combine like terms: 6x + 4x = 10x
85 + 10x + x = 360

Combine like terms: 10x + x = 11x
85 + 11x = 360

Solving
85 + 11x = 360

Solving for variable 'x'.

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

Add '-85' to each side of the equation.
85 + -85 + 11x = 360 + -85

Combine like terms: 85 + -85 = 0
0 + 11x = 360 + -85
11x = 360 + -85

Combine like terms: 360 + -85 = 275
11x = 275

Divide each side by '11'.
x = 25

Simplifying
x = 25

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