(7x+8)-33=x-2

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Solution for (7x+8)-33=x-2 equation:


Simplifying
(7x + 8) + -33 = x + -2

Reorder the terms:
(8 + 7x) + -33 = x + -2

Remove parenthesis around (8 + 7x)
8 + 7x + -33 = x + -2

Reorder the terms:
8 + -33 + 7x = x + -2

Combine like terms: 8 + -33 = -25
-25 + 7x = x + -2

Reorder the terms:
-25 + 7x = -2 + x

Solving
-25 + 7x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-25 + 7x + -1x = -2 + x + -1x

Combine like terms: 7x + -1x = 6x
-25 + 6x = -2 + x + -1x

Combine like terms: x + -1x = 0
-25 + 6x = -2 + 0
-25 + 6x = -2

Add '25' to each side of the equation.
-25 + 25 + 6x = -2 + 25

Combine like terms: -25 + 25 = 0
0 + 6x = -2 + 25
6x = -2 + 25

Combine like terms: -2 + 25 = 23
6x = 23

Divide each side by '6'.
x = 3.833333333

Simplifying
x = 3.833333333

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