2(x+3)+4(x+2)=50

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Solution for 2(x+3)+4(x+2)=50 equation: 


Simplifying
2(x + 3) + 4(x + 2) = 50

Reorder the terms:
2(3 + x) + 4(x + 2) = 50
(3 * 2 + x * 2) + 4(x + 2) = 50
(6 + 2x) + 4(x + 2) = 50

Reorder the terms:
6 + 2x + 4(2 + x) = 50
6 + 2x + (2 * 4 + x * 4) = 50
6 + 2x + (8 + 4x) = 50

Reorder the terms:
6 + 8 + 2x + 4x = 50

Combine like terms: 6 + 8 = 14
14 + 2x + 4x = 50

Combine like terms: 2x + 4x = 6x
14 + 6x = 50

Solving
14 + 6x = 50

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 6x = 50 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 50 + -14
6x = 50 + -14

Combine like terms: 50 + -14 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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