3x+19=13x+61

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Solution for 3x+19=13x+61 equation:


Simplifying
3x + 19 = 13x + 61

Reorder the terms:
19 + 3x = 13x + 61

Reorder the terms:
19 + 3x = 61 + 13x

Solving
19 + 3x = 61 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
19 + 3x + -13x = 61 + 13x + -13x

Combine like terms: 3x + -13x = -10x
19 + -10x = 61 + 13x + -13x

Combine like terms: 13x + -13x = 0
19 + -10x = 61 + 0
19 + -10x = 61

Add '-19' to each side of the equation.
19 + -19 + -10x = 61 + -19

Combine like terms: 19 + -19 = 0
0 + -10x = 61 + -19
-10x = 61 + -19

Combine like terms: 61 + -19 = 42
-10x = 42

Divide each side by '-10'.
x = -4.2

Simplifying
x = -4.2

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