117=2x+3(4x+11)

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Solution for 117=2x+3(4x+11) equation:


Simplifying
117 = 2x + 3(4x + 11)

Reorder the terms:
117 = 2x + 3(11 + 4x)
117 = 2x + (11 * 3 + 4x * 3)
117 = 2x + (33 + 12x)

Reorder the terms:
117 = 33 + 2x + 12x

Combine like terms: 2x + 12x = 14x
117 = 33 + 14x

Solving
117 = 33 + 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.
117 + -14x = 33 + 14x + -14x

Combine like terms: 14x + -14x = 0
117 + -14x = 33 + 0
117 + -14x = 33

Add '-117' to each side of the equation.
117 + -117 + -14x = 33 + -117

Combine like terms: 117 + -117 = 0
0 + -14x = 33 + -117
-14x = 33 + -117

Combine like terms: 33 + -117 = -84
-14x = -84

Divide each side by '-14'.
x = 6

Simplifying
x = 6

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