5x+19=2x+100

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Solution for 5x+19=2x+100 equation:


Simplifying
5x + 19 = 2x + 100

Reorder the terms:
19 + 5x = 2x + 100

Reorder the terms:
19 + 5x = 100 + 2x

Solving
19 + 5x = 100 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
19 + 5x + -2x = 100 + 2x + -2x

Combine like terms: 5x + -2x = 3x
19 + 3x = 100 + 2x + -2x

Combine like terms: 2x + -2x = 0
19 + 3x = 100 + 0
19 + 3x = 100

Add '-19' to each side of the equation.
19 + -19 + 3x = 100 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 100 + -19
3x = 100 + -19

Combine like terms: 100 + -19 = 81
3x = 81

Divide each side by '3'.
x = 27

Simplifying
x = 27

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