6x+1=46-3x

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Solution for 6x+1=46-3x equation:


Simplifying
6x + 1 = 46 + -3x

Reorder the terms:
1 + 6x = 46 + -3x

Solving
1 + 6x = 46 + -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.
1 + 6x + 3x = 46 + -3x + 3x

Combine like terms: 6x + 3x = 9x
1 + 9x = 46 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 9x = 46 + 0
1 + 9x = 46

Add '-1' to each side of the equation.
1 + -1 + 9x = 46 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 46 + -1
9x = 46 + -1

Combine like terms: 46 + -1 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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