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

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Solution for 35-(x+7)=9x-2 equation:


Simplifying
35 + -1(x + 7) = 9x + -2

Reorder the terms:
35 + -1(7 + x) = 9x + -2
35 + (7 * -1 + x * -1) = 9x + -2
35 + (-7 + -1x) = 9x + -2

Combine like terms: 35 + -7 = 28
28 + -1x = 9x + -2

Reorder the terms:
28 + -1x = -2 + 9x

Solving
28 + -1x = -2 + 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.
28 + -1x + -9x = -2 + 9x + -9x

Combine like terms: -1x + -9x = -10x
28 + -10x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -10x = -2 + 0
28 + -10x = -2

Add '-28' to each side of the equation.
28 + -28 + -10x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + -10x = -2 + -28
-10x = -2 + -28

Combine like terms: -2 + -28 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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