3-6(3x+7)=46-35x

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Solution for 3-6(3x+7)=46-35x equation:


Simplifying
3 + -6(3x + 7) = 46 + -35x

Reorder the terms:
3 + -6(7 + 3x) = 46 + -35x
3 + (7 * -6 + 3x * -6) = 46 + -35x
3 + (-42 + -18x) = 46 + -35x

Combine like terms: 3 + -42 = -39
-39 + -18x = 46 + -35x

Solving
-39 + -18x = 46 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
-39 + -18x + 35x = 46 + -35x + 35x

Combine like terms: -18x + 35x = 17x
-39 + 17x = 46 + -35x + 35x

Combine like terms: -35x + 35x = 0
-39 + 17x = 46 + 0
-39 + 17x = 46

Add '39' to each side of the equation.
-39 + 39 + 17x = 46 + 39

Combine like terms: -39 + 39 = 0
0 + 17x = 46 + 39
17x = 46 + 39

Combine like terms: 46 + 39 = 85
17x = 85

Divide each side by '17'.
x = 5

Simplifying
x = 5

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