5(x-1)-19=3(x-2)

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Solution for 5(x-1)-19=3(x-2) equation:


Simplifying
5(x + -1) + -19 = 3(x + -2)

Reorder the terms:
5(-1 + x) + -19 = 3(x + -2)
(-1 * 5 + x * 5) + -19 = 3(x + -2)
(-5 + 5x) + -19 = 3(x + -2)

Reorder the terms:
-5 + -19 + 5x = 3(x + -2)

Combine like terms: -5 + -19 = -24
-24 + 5x = 3(x + -2)

Reorder the terms:
-24 + 5x = 3(-2 + x)
-24 + 5x = (-2 * 3 + x * 3)
-24 + 5x = (-6 + 3x)

Solving
-24 + 5x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-24 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-24 + 2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 2x = -6 + 0
-24 + 2x = -6

Add '24' to each side of the equation.
-24 + 24 + 2x = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = -6 + 24
2x = -6 + 24

Combine like terms: -6 + 24 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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