74=2x+2(2x+13)

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Solution for 74=2x+2(2x+13) equation:


Simplifying
74 = 2x + 2(2x + 13)

Reorder the terms:
74 = 2x + 2(13 + 2x)
74 = 2x + (13 * 2 + 2x * 2)
74 = 2x + (26 + 4x)

Reorder the terms:
74 = 26 + 2x + 4x

Combine like terms: 2x + 4x = 6x
74 = 26 + 6x

Solving
74 = 26 + 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.
74 + -6x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
74 + -6x = 26 + 0
74 + -6x = 26

Add '-74' to each side of the equation.
74 + -74 + -6x = 26 + -74

Combine like terms: 74 + -74 = 0
0 + -6x = 26 + -74
-6x = 26 + -74

Combine like terms: 26 + -74 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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