2(2x+3)+2(x+2)=46

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Solution for 2(2x+3)+2(x+2)=46 equation: 


Simplifying
2(2x + 3) + 2(x + 2) = 46

Reorder the terms:
2(3 + 2x) + 2(x + 2) = 46
(3 * 2 + 2x * 2) + 2(x + 2) = 46
(6 + 4x) + 2(x + 2) = 46

Reorder the terms:
6 + 4x + 2(2 + x) = 46
6 + 4x + (2 * 2 + x * 2) = 46
6 + 4x + (4 + 2x) = 46

Reorder the terms:
6 + 4 + 4x + 2x = 46

Combine like terms: 6 + 4 = 10
10 + 4x + 2x = 46

Combine like terms: 4x + 2x = 6x
10 + 6x = 46

Solving
10 + 6x = 46

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 6x = 46 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 46 + -10
6x = 46 + -10

Combine like terms: 46 + -10 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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