194=2x+6(2x+9)

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Solution for 194=2x+6(2x+9) equation:


Simplifying
194 = 2x + 6(2x + 9)

Reorder the terms:
194 = 2x + 6(9 + 2x)
194 = 2x + (9 * 6 + 2x * 6)
194 = 2x + (54 + 12x)

Reorder the terms:
194 = 54 + 2x + 12x

Combine like terms: 2x + 12x = 14x
194 = 54 + 14x

Solving
194 = 54 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
194 + -14x = 54 + 14x + -14x

Combine like terms: 14x + -14x = 0
194 + -14x = 54 + 0
194 + -14x = 54

Add '-194' to each side of the equation.
194 + -194 + -14x = 54 + -194

Combine like terms: 194 + -194 = 0
0 + -14x = 54 + -194
-14x = 54 + -194

Combine like terms: 54 + -194 = -140
-14x = -140

Divide each side by '-14'.
x = 10

Simplifying
x = 10

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