(3x+7)=(51-x)

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Solution for (3x+7)=(51-x) equation:


Simplifying
(3x + 7) = (51 + -1x)

Reorder the terms:
(7 + 3x) = (51 + -1x)

Remove parenthesis around (7 + 3x)
7 + 3x = (51 + -1x)

Remove parenthesis around (51 + -1x)
7 + 3x = 51 + -1x

Solving
7 + 3x = 51 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + 3x + x = 51 + -1x + x

Combine like terms: 3x + x = 4x
7 + 4x = 51 + -1x + x

Combine like terms: -1x + x = 0
7 + 4x = 51 + 0
7 + 4x = 51

Add '-7' to each side of the equation.
7 + -7 + 4x = 51 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 51 + -7
4x = 51 + -7

Combine like terms: 51 + -7 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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