3x+19=31x+61

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Solution for 3x+19=31x+61 equation:


Simplifying
3x + 19 = 31x + 61

Reorder the terms:
19 + 3x = 31x + 61

Reorder the terms:
19 + 3x = 61 + 31x

Solving
19 + 3x = 61 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
19 + 3x + -31x = 61 + 31x + -31x

Combine like terms: 3x + -31x = -28x
19 + -28x = 61 + 31x + -31x

Combine like terms: 31x + -31x = 0
19 + -28x = 61 + 0
19 + -28x = 61

Add '-19' to each side of the equation.
19 + -19 + -28x = 61 + -19

Combine like terms: 19 + -19 = 0
0 + -28x = 61 + -19
-28x = 61 + -19

Combine like terms: 61 + -19 = 42
-28x = 42

Divide each side by '-28'.
x = -1.5

Simplifying
x = -1.5

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