(7x+51)=(9x+47)

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Solution for (7x+51)=(9x+47) equation:


Simplifying
(7x + 51) = (9x + 47)

Reorder the terms:
(51 + 7x) = (9x + 47)

Remove parenthesis around (51 + 7x)
51 + 7x = (9x + 47)

Reorder the terms:
51 + 7x = (47 + 9x)

Remove parenthesis around (47 + 9x)
51 + 7x = 47 + 9x

Solving
51 + 7x = 47 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
51 + 7x + -9x = 47 + 9x + -9x

Combine like terms: 7x + -9x = -2x
51 + -2x = 47 + 9x + -9x

Combine like terms: 9x + -9x = 0
51 + -2x = 47 + 0
51 + -2x = 47

Add '-51' to each side of the equation.
51 + -51 + -2x = 47 + -51

Combine like terms: 51 + -51 = 0
0 + -2x = 47 + -51
-2x = 47 + -51

Combine like terms: 47 + -51 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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