5(-3x+6)=46

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Solution for 5(-3x+6)=46 equation: 


Simplifying
5(-3x + 6) = 46

Reorder the terms:
5(6 + -3x) = 46
(6 * 5 + -3x * 5) = 46
(30 + -15x) = 46

Solving
30 + -15x = 46

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + -15x = 46 + -30

Combine like terms: 30 + -30 = 0
0 + -15x = 46 + -30
-15x = 46 + -30

Combine like terms: 46 + -30 = 16
-15x = 16

Divide each side by '-15'.
x = -1.066666667

Simplifying
x = -1.066666667

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