46=3(4x-5)+1

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Solution for 46=3(4x-5)+1 equation: 


Simplifying
46 = 3(4x + -5) + 1

Reorder the terms:
46 = 3(-5 + 4x) + 1
46 = (-5 * 3 + 4x * 3) + 1
46 = (-15 + 12x) + 1

Reorder the terms:
46 = -15 + 1 + 12x

Combine like terms: -15 + 1 = -14
46 = -14 + 12x

Solving
46 = -14 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
46 + -12x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
46 + -12x = -14 + 0
46 + -12x = -14

Add '-46' to each side of the equation.
46 + -46 + -12x = -14 + -46

Combine like terms: 46 + -46 = 0
0 + -12x = -14 + -46
-12x = -14 + -46

Combine like terms: -14 + -46 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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