x+19=7x-8

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Solution for x+19=7x-8 equation:


Simplifying
x + 19 = 7x + -8

Reorder the terms:
19 + x = 7x + -8

Reorder the terms:
19 + x = -8 + 7x

Solving
19 + x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
19 + x + -7x = -8 + 7x + -7x

Combine like terms: x + -7x = -6x
19 + -6x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
19 + -6x = -8 + 0
19 + -6x = -8

Add '-19' to each side of the equation.
19 + -19 + -6x = -8 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = -8 + -19
-6x = -8 + -19

Combine like terms: -8 + -19 = -27
-6x = -27

Divide each side by '-6'.
x = 4.5

Simplifying
x = 4.5

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