31x+1=3x-7

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Solution for 31x+1=3x-7 equation:


Simplifying
31x + 1 = 3x + -7

Reorder the terms:
1 + 31x = 3x + -7

Reorder the terms:
1 + 31x = -7 + 3x

Solving
1 + 31x = -7 + 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 + 31x + -3x = -7 + 3x + -3x

Combine like terms: 31x + -3x = 28x
1 + 28x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 28x = -7 + 0
1 + 28x = -7

Add '-1' to each side of the equation.
1 + -1 + 28x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 28x = -7 + -1
28x = -7 + -1

Combine like terms: -7 + -1 = -8
28x = -8

Divide each side by '28'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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