3x+19=5x-11

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Solution for 3x+19=5x-11 equation:


Simplifying
3x + 19 = 5x + -11

Reorder the terms:
19 + 3x = 5x + -11

Reorder the terms:
19 + 3x = -11 + 5x

Solving
19 + 3x = -11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
19 + 3x + -5x = -11 + 5x + -5x

Combine like terms: 3x + -5x = -2x
19 + -2x = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -2x = -11 + 0
19 + -2x = -11

Add '-19' to each side of the equation.
19 + -19 + -2x = -11 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = -11 + -19
-2x = -11 + -19

Combine like terms: -11 + -19 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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