7x+19=12x-1

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Solution for 7x+19=12x-1 equation:


Simplifying
7x + 19 = 12x + -1

Reorder the terms:
19 + 7x = 12x + -1

Reorder the terms:
19 + 7x = -1 + 12x

Solving
19 + 7x = -1 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
19 + 7x + -12x = -1 + 12x + -12x

Combine like terms: 7x + -12x = -5x
19 + -5x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
19 + -5x = -1 + 0
19 + -5x = -1

Add '-19' to each side of the equation.
19 + -19 + -5x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = -1 + -19
-5x = -1 + -19

Combine like terms: -1 + -19 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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