3x+1=57-5x

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Solution for 3x+1=57-5x equation:


Simplifying
3x + 1 = 57 + -5x

Reorder the terms:
1 + 3x = 57 + -5x

Solving
1 + 3x = 57 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
1 + 3x + 5x = 57 + -5x + 5x

Combine like terms: 3x + 5x = 8x
1 + 8x = 57 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 8x = 57 + 0
1 + 8x = 57

Add '-1' to each side of the equation.
1 + -1 + 8x = 57 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 57 + -1
8x = 57 + -1

Combine like terms: 57 + -1 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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