46=3(2x+5)

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Solution for 46=3(2x+5) equation:


Simplifying
46 = 3(2x + 5)

Reorder the terms:
46 = 3(5 + 2x)
46 = (5 * 3 + 2x * 3)
46 = (15 + 6x)

Solving
46 = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
46 + -6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
46 + -6x = 15 + 0
46 + -6x = 15

Add '-46' to each side of the equation.
46 + -46 + -6x = 15 + -46

Combine like terms: 46 + -46 = 0
0 + -6x = 15 + -46
-6x = 15 + -46

Combine like terms: 15 + -46 = -31
-6x = -31

Divide each side by '-6'.
x = 5.166666667

Simplifying
x = 5.166666667

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