x*3+1=52-x+1

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Solution for x*3+1=52-x+1 equation:


Simplifying
x * 3 + 1 = 52 + -1x + 1

Reorder the terms for easier multiplication:
3x + 1 = 52 + -1x + 1

Reorder the terms:
1 + 3x = 52 + -1x + 1

Reorder the terms:
1 + 3x = 52 + 1 + -1x

Combine like terms: 52 + 1 = 53
1 + 3x = 53 + -1x

Solving
1 + 3x = 53 + -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 = 53 + -1x + x

Combine like terms: 3x + x = 4x
1 + 4x = 53 + -1x + x

Combine like terms: -1x + x = 0
1 + 4x = 53 + 0
1 + 4x = 53

Add '-1' to each side of the equation.
1 + -1 + 4x = 53 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 53 + -1
4x = 53 + -1

Combine like terms: 53 + -1 = 52
4x = 52

Divide each side by '4'.
x = 13

Simplifying
x = 13

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