2(2x+4)+2(3x-2)=54

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Solution for 2(2x+4)+2(3x-2)=54 equation: 


Simplifying
2(2x + 4) + 2(3x + -2) = 54

Reorder the terms:
2(4 + 2x) + 2(3x + -2) = 54
(4 * 2 + 2x * 2) + 2(3x + -2) = 54
(8 + 4x) + 2(3x + -2) = 54

Reorder the terms:
8 + 4x + 2(-2 + 3x) = 54
8 + 4x + (-2 * 2 + 3x * 2) = 54
8 + 4x + (-4 + 6x) = 54

Reorder the terms:
8 + -4 + 4x + 6x = 54

Combine like terms: 8 + -4 = 4
4 + 4x + 6x = 54

Combine like terms: 4x + 6x = 10x
4 + 10x = 54

Solving
4 + 10x = 54

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 10x = 54 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = 54 + -4
10x = 54 + -4

Combine like terms: 54 + -4 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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