42=2(2x+3)+2x

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Solution for 42=2(2x+3)+2x equation:


Simplifying
42 = 2(2x + 3) + 2x

Reorder the terms:
42 = 2(3 + 2x) + 2x
42 = (3 * 2 + 2x * 2) + 2x
42 = (6 + 4x) + 2x

Combine like terms: 4x + 2x = 6x
42 = 6 + 6x

Solving
42 = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
42 + -6x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
42 + -6x = 6 + 0
42 + -6x = 6

Add '-42' to each side of the equation.
42 + -42 + -6x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = 6 + -42
-6x = 6 + -42

Combine like terms: 6 + -42 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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