3x+19=5-4x

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Solution for 3x+19=5-4x equation:


Simplifying
3x + 19 = 5 + -4x

Reorder the terms:
19 + 3x = 5 + -4x

Solving
19 + 3x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
19 + 3x + 4x = 5 + -4x + 4x

Combine like terms: 3x + 4x = 7x
19 + 7x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
19 + 7x = 5 + 0
19 + 7x = 5

Add '-19' to each side of the equation.
19 + -19 + 7x = 5 + -19

Combine like terms: 19 + -19 = 0
0 + 7x = 5 + -19
7x = 5 + -19

Combine like terms: 5 + -19 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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