3x+1=37-x

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Solution for 3x+1=37-x equation:


Simplifying
3x + 1 = 37 + -1x

Reorder the terms:
1 + 3x = 37 + -1x

Solving
1 + 3x = 37 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 3x + x = 37 + -1x + x

Combine like terms: 3x + x = 4x
1 + 4x = 37 + -1x + x

Combine like terms: -1x + x = 0
1 + 4x = 37 + 0
1 + 4x = 37

Add '-1' to each side of the equation.
1 + -1 + 4x = 37 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 37 + -1
4x = 37 + -1

Combine like terms: 37 + -1 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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