(2x+7)=(9x-33)

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Solution for (2x+7)=(9x-33) equation:


Simplifying
(2x + 7) = (9x + -33)

Reorder the terms:
(7 + 2x) = (9x + -33)

Remove parenthesis around (7 + 2x)
7 + 2x = (9x + -33)

Reorder the terms:
7 + 2x = (-33 + 9x)

Remove parenthesis around (-33 + 9x)
7 + 2x = -33 + 9x

Solving
7 + 2x = -33 + 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.
7 + 2x + -9x = -33 + 9x + -9x

Combine like terms: 2x + -9x = -7x
7 + -7x = -33 + 9x + -9x

Combine like terms: 9x + -9x = 0
7 + -7x = -33 + 0
7 + -7x = -33

Add '-7' to each side of the equation.
7 + -7 + -7x = -33 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = -33 + -7
-7x = -33 + -7

Combine like terms: -33 + -7 = -40
-7x = -40

Divide each side by '-7'.
x = 5.714285714

Simplifying
x = 5.714285714

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