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

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


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

Reorder the terms:
2(5 + 3x) + (-2x) = 22
(5 * 2 + 3x * 2) + (-2x) = 22
(10 + 6x) + (-2x) = 22

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

Solving
10 + 4x = 22

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 + 4x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 22 + -10
4x = 22 + -10

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

Divide each side by '4'.
x = 3

Simplifying
x = 3

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