(5x-1)+(-2x+7)=9

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Solution for (5x-1)+(-2x+7)=9 equation:


Simplifying
(5x + -1) + (-2x + 7) = 9

Reorder the terms:
(-1 + 5x) + (-2x + 7) = 9

Remove parenthesis around (-1 + 5x)
-1 + 5x + (-2x + 7) = 9

Reorder the terms:
-1 + 5x + (7 + -2x) = 9

Remove parenthesis around (7 + -2x)
-1 + 5x + 7 + -2x = 9

Reorder the terms:
-1 + 7 + 5x + -2x = 9

Combine like terms: -1 + 7 = 6
6 + 5x + -2x = 9

Combine like terms: 5x + -2x = 3x
6 + 3x = 9

Solving
6 + 3x = 9

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 9 + -6
3x = 9 + -6

Combine like terms: 9 + -6 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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