2(3x+2)+2(4x-5)=22

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Solution for 2(3x+2)+2(4x-5)=22 equation:


Simplifying
2(3x + 2) + 2(4x + -5) = 22

Reorder the terms:
2(2 + 3x) + 2(4x + -5) = 22
(2 * 2 + 3x * 2) + 2(4x + -5) = 22
(4 + 6x) + 2(4x + -5) = 22

Reorder the terms:
4 + 6x + 2(-5 + 4x) = 22
4 + 6x + (-5 * 2 + 4x * 2) = 22
4 + 6x + (-10 + 8x) = 22

Reorder the terms:
4 + -10 + 6x + 8x = 22

Combine like terms: 4 + -10 = -6
-6 + 6x + 8x = 22

Combine like terms: 6x + 8x = 14x
-6 + 14x = 22

Solving
-6 + 14x = 22

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 14x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 22 + 6
14x = 22 + 6

Combine like terms: 22 + 6 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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