(5x-2)+(9x+3)=180(11x-21)

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Solution for (5x-2)+(9x+3)=180(11x-21) equation:


Simplifying
(5x + -2) + (9x + 3) = 180(11x + -21)

Reorder the terms:
(-2 + 5x) + (9x + 3) = 180(11x + -21)

Remove parenthesis around (-2 + 5x)
-2 + 5x + (9x + 3) = 180(11x + -21)

Reorder the terms:
-2 + 5x + (3 + 9x) = 180(11x + -21)

Remove parenthesis around (3 + 9x)
-2 + 5x + 3 + 9x = 180(11x + -21)

Reorder the terms:
-2 + 3 + 5x + 9x = 180(11x + -21)

Combine like terms: -2 + 3 = 1
1 + 5x + 9x = 180(11x + -21)

Combine like terms: 5x + 9x = 14x
1 + 14x = 180(11x + -21)

Reorder the terms:
1 + 14x = 180(-21 + 11x)
1 + 14x = (-21 * 180 + 11x * 180)
1 + 14x = (-3780 + 1980x)

Solving
1 + 14x = -3780 + 1980x

Solving for variable 'x'.

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

Add '-1980x' to each side of the equation.
1 + 14x + -1980x = -3780 + 1980x + -1980x

Combine like terms: 14x + -1980x = -1966x
1 + -1966x = -3780 + 1980x + -1980x

Combine like terms: 1980x + -1980x = 0
1 + -1966x = -3780 + 0
1 + -1966x = -3780

Add '-1' to each side of the equation.
1 + -1 + -1966x = -3780 + -1

Combine like terms: 1 + -1 = 0
0 + -1966x = -3780 + -1
-1966x = -3780 + -1

Combine like terms: -3780 + -1 = -3781
-1966x = -3781

Divide each side by '-1966'.
x = 1.923194303

Simplifying
x = 1.923194303

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