(5x-2)+(9x+3)=(11x-21)

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Solution for (5x-2)+(9x+3)=(11x-21) equation:


Simplifying
(5x + -2) + (9x + 3) = (11x + -21)

Reorder the terms:
(-2 + 5x) + (9x + 3) = (11x + -21)

Remove parenthesis around (-2 + 5x)
-2 + 5x + (9x + 3) = (11x + -21)

Reorder the terms:
-2 + 5x + (3 + 9x) = (11x + -21)

Remove parenthesis around (3 + 9x)
-2 + 5x + 3 + 9x = (11x + -21)

Reorder the terms:
-2 + 3 + 5x + 9x = (11x + -21)

Combine like terms: -2 + 3 = 1
1 + 5x + 9x = (11x + -21)

Combine like terms: 5x + 9x = 14x
1 + 14x = (11x + -21)

Reorder the terms:
1 + 14x = (-21 + 11x)

Remove parenthesis around (-21 + 11x)
1 + 14x = -21 + 11x

Solving
1 + 14x = -21 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
1 + 14x + -11x = -21 + 11x + -11x

Combine like terms: 14x + -11x = 3x
1 + 3x = -21 + 11x + -11x

Combine like terms: 11x + -11x = 0
1 + 3x = -21 + 0
1 + 3x = -21

Add '-1' to each side of the equation.
1 + -1 + 3x = -21 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -21 + -1
3x = -21 + -1

Combine like terms: -21 + -1 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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