2(x+3)+4(2x-1)=22

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Solution for 2(x+3)+4(2x-1)=22 equation: 


Simplifying
2(x + 3) + 4(2x + -1) = 22

Reorder the terms:
2(3 + x) + 4(2x + -1) = 22
(3 * 2 + x * 2) + 4(2x + -1) = 22
(6 + 2x) + 4(2x + -1) = 22

Reorder the terms:
6 + 2x + 4(-1 + 2x) = 22
6 + 2x + (-1 * 4 + 2x * 4) = 22
6 + 2x + (-4 + 8x) = 22

Reorder the terms:
6 + -4 + 2x + 8x = 22

Combine like terms: 6 + -4 = 2
2 + 2x + 8x = 22

Combine like terms: 2x + 8x = 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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