5(x-1)-19=(x-2)

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Solution for 5(x-1)-19=(x-2) equation:


Simplifying
5(x + -1) + -19 = (x + -2)

Reorder the terms:
5(-1 + x) + -19 = (x + -2)
(-1 * 5 + x * 5) + -19 = (x + -2)
(-5 + 5x) + -19 = (x + -2)

Reorder the terms:
-5 + -19 + 5x = (x + -2)

Combine like terms: -5 + -19 = -24
-24 + 5x = (x + -2)

Reorder the terms:
-24 + 5x = (-2 + x)

Remove parenthesis around (-2 + x)
-24 + 5x = -2 + x

Solving
-24 + 5x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-24 + 5x + -1x = -2 + x + -1x

Combine like terms: 5x + -1x = 4x
-24 + 4x = -2 + x + -1x

Combine like terms: x + -1x = 0
-24 + 4x = -2 + 0
-24 + 4x = -2

Add '24' to each side of the equation.
-24 + 24 + 4x = -2 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = -2 + 24
4x = -2 + 24

Combine like terms: -2 + 24 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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