6(x+2)+2(2x-5)=22

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Solution for 6(x+2)+2(2x-5)=22 equation: 


Simplifying
6(x + 2) + 2(2x + -5) = 22

Reorder the terms:
6(2 + x) + 2(2x + -5) = 22
(2 * 6 + x * 6) + 2(2x + -5) = 22
(12 + 6x) + 2(2x + -5) = 22

Reorder the terms:
12 + 6x + 2(-5 + 2x) = 22
12 + 6x + (-5 * 2 + 2x * 2) = 22
12 + 6x + (-10 + 4x) = 22

Reorder the terms:
12 + -10 + 6x + 4x = 22

Combine like terms: 12 + -10 = 2
2 + 6x + 4x = 22

Combine like terms: 6x + 4x = 10x
2 + 10x = 22

Solving
2 + 10x = 22

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 10x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 22 + -2
10x = 22 + -2

Combine like terms: 22 + -2 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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