19+4x=5(x-6)+33

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Solution for 19+4x=5(x-6)+33 equation:


Simplifying
19 + 4x = 5(x + -6) + 33

Reorder the terms:
19 + 4x = 5(-6 + x) + 33
19 + 4x = (-6 * 5 + x * 5) + 33
19 + 4x = (-30 + 5x) + 33

Reorder the terms:
19 + 4x = -30 + 33 + 5x

Combine like terms: -30 + 33 = 3
19 + 4x = 3 + 5x

Solving
19 + 4x = 3 + 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 + 4x + -5x = 3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
19 + -1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -1x = 3 + 0
19 + -1x = 3

Add '-19' to each side of the equation.
19 + -19 + -1x = 3 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 3 + -19
-1x = 3 + -19

Combine like terms: 3 + -19 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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