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

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


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

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

Combine like terms: 19 + 2 = 21
21 + -1x = 3x + -5

Reorder the terms:
21 + -1x = -5 + 3x

Solving
21 + -1x = -5 + 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.
21 + -1x + -3x = -5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
21 + -4x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -4x = -5 + 0
21 + -4x = -5

Add '-21' to each side of the equation.
21 + -21 + -4x = -5 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = -5 + -21
-4x = -5 + -21

Combine like terms: -5 + -21 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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