35-(-3)=3(x-2)+17

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Solution for 35-(-3)=3(x-2)+17 equation: 


Simplifying
35 + -1(-3) = 3(x + -2) + 17

Multiply -1 * -3
35 + 3 = 3(x + -2) + 17

Combine like terms: 35 + 3 = 38
38 = 3(x + -2) + 17

Reorder the terms:
38 = 3(-2 + x) + 17
38 = (-2 * 3 + x * 3) + 17
38 = (-6 + 3x) + 17

Reorder the terms:
38 = -6 + 17 + 3x

Combine like terms: -6 + 17 = 11
38 = 11 + 3x

Solving
38 = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
38 + -3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
38 + -3x = 11 + 0
38 + -3x = 11

Add '-38' to each side of the equation.
38 + -38 + -3x = 11 + -38

Combine like terms: 38 + -38 = 0
0 + -3x = 11 + -38
-3x = 11 + -38

Combine like terms: 11 + -38 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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