51=3(4+x)+(4+x)+x

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Solution for 51=3(4+x)+(4+x)+x equation: 


Simplifying
51 = 3(4 + x) + (4 + x) + x
51 = (4 * 3 + x * 3) + (4 + x) + x
51 = (12 + 3x) + (4 + x) + x

Remove parenthesis around (4 + x)
51 = 12 + 3x + 4 + x + x

Reorder the terms:
51 = 12 + 4 + 3x + x + x

Combine like terms: 12 + 4 = 16
51 = 16 + 3x + x + x

Combine like terms: 3x + x = 4x
51 = 16 + 4x + x

Combine like terms: 4x + x = 5x
51 = 16 + 5x

Solving
51 = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
51 + -5x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
51 + -5x = 16 + 0
51 + -5x = 16

Add '-51' to each side of the equation.
51 + -51 + -5x = 16 + -51

Combine like terms: 51 + -51 = 0
0 + -5x = 16 + -51
-5x = 16 + -51

Combine like terms: 16 + -51 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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