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

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


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

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

Remove parenthesis around (-2 + 3x)
-2 + 3x + -1(5x + -3) = 19

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

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

Combine like terms: -2 + 3 = 1
1 + 3x + -5x = 19

Combine like terms: 3x + -5x = -2x
1 + -2x = 19

Solving
1 + -2x = 19

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 19 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 19 + -1
-2x = 19 + -1

Combine like terms: 19 + -1 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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