164=2x+4(2x+11)

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Solution for 164=2x+4(2x+11) equation:


Simplifying
164 = 2x + 4(2x + 11)

Reorder the terms:
164 = 2x + 4(11 + 2x)
164 = 2x + (11 * 4 + 2x * 4)
164 = 2x + (44 + 8x)

Reorder the terms:
164 = 44 + 2x + 8x

Combine like terms: 2x + 8x = 10x
164 = 44 + 10x

Solving
164 = 44 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
164 + -10x = 44 + 10x + -10x

Combine like terms: 10x + -10x = 0
164 + -10x = 44 + 0
164 + -10x = 44

Add '-164' to each side of the equation.
164 + -164 + -10x = 44 + -164

Combine like terms: 164 + -164 = 0
0 + -10x = 44 + -164
-10x = 44 + -164

Combine like terms: 44 + -164 = -120
-10x = -120

Divide each side by '-10'.
x = 12

Simplifying
x = 12

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