6x+19=14x-61

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Solution for 6x+19=14x-61 equation:


Simplifying
6x + 19 = 14x + -61

Reorder the terms:
19 + 6x = 14x + -61

Reorder the terms:
19 + 6x = -61 + 14x

Solving
19 + 6x = -61 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
19 + 6x + -14x = -61 + 14x + -14x

Combine like terms: 6x + -14x = -8x
19 + -8x = -61 + 14x + -14x

Combine like terms: 14x + -14x = 0
19 + -8x = -61 + 0
19 + -8x = -61

Add '-19' to each side of the equation.
19 + -19 + -8x = -61 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -61 + -19
-8x = -61 + -19

Combine like terms: -61 + -19 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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