7x-6(53+-5x)=33-2x

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Solution for 7x-6(53+-5x)=33-2x equation:


Simplifying
7x + -6(53 + -5x) = 33 + -2x
7x + (53 * -6 + -5x * -6) = 33 + -2x
7x + (-318 + 30x) = 33 + -2x

Reorder the terms:
-318 + 7x + 30x = 33 + -2x

Combine like terms: 7x + 30x = 37x
-318 + 37x = 33 + -2x

Solving
-318 + 37x = 33 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-318 + 37x + 2x = 33 + -2x + 2x

Combine like terms: 37x + 2x = 39x
-318 + 39x = 33 + -2x + 2x

Combine like terms: -2x + 2x = 0
-318 + 39x = 33 + 0
-318 + 39x = 33

Add '318' to each side of the equation.
-318 + 318 + 39x = 33 + 318

Combine like terms: -318 + 318 = 0
0 + 39x = 33 + 318
39x = 33 + 318

Combine like terms: 33 + 318 = 351
39x = 351

Divide each side by '39'.
x = 9

Simplifying
x = 9

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