3x+19=9x-5(x+1)

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Solution for 3x+19=9x-5(x+1) equation:


Simplifying
3x + 19 = 9x + -5(x + 1)

Reorder the terms:
19 + 3x = 9x + -5(x + 1)

Reorder the terms:
19 + 3x = 9x + -5(1 + x)
19 + 3x = 9x + (1 * -5 + x * -5)
19 + 3x = 9x + (-5 + -5x)

Reorder the terms:
19 + 3x = -5 + 9x + -5x

Combine like terms: 9x + -5x = 4x
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 = -1x
19 + -1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -1x = -5 + 0
19 + -1x = -5

Add '-19' to each side of the equation.
19 + -19 + -1x = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = -5 + -19
-1x = -5 + -19

Combine like terms: -5 + -19 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24

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