(x+2)+(2x-7)=19

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Solution for (x+2)+(2x-7)=19 equation:


Simplifying
(x + 2) + (2x + -7) = 19

Reorder the terms:
(2 + x) + (2x + -7) = 19

Remove parenthesis around (2 + x)
2 + x + (2x + -7) = 19

Reorder the terms:
2 + x + (-7 + 2x) = 19

Remove parenthesis around (-7 + 2x)
2 + x + -7 + 2x = 19

Reorder the terms:
2 + -7 + x + 2x = 19

Combine like terms: 2 + -7 = -5
-5 + x + 2x = 19

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

Solving
-5 + 3x = 19

Solving for variable 'x'.

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

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

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

Combine like terms: 19 + 5 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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