122=5x+4(2x+11)

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Solution for 122=5x+4(2x+11) equation:


Simplifying
122 = 5x + 4(2x + 11)

Reorder the terms:
122 = 5x + 4(11 + 2x)
122 = 5x + (11 * 4 + 2x * 4)
122 = 5x + (44 + 8x)

Reorder the terms:
122 = 44 + 5x + 8x

Combine like terms: 5x + 8x = 13x
122 = 44 + 13x

Solving
122 = 44 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
122 + -13x = 44 + 13x + -13x

Combine like terms: 13x + -13x = 0
122 + -13x = 44 + 0
122 + -13x = 44

Add '-122' to each side of the equation.
122 + -122 + -13x = 44 + -122

Combine like terms: 122 + -122 = 0
0 + -13x = 44 + -122
-13x = 44 + -122

Combine like terms: 44 + -122 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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