20(15x+22)=-9(x-3)

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Solution for 20(15x+22)=-9(x-3) equation:


Simplifying
20(15x + 22) = -9(x + -3)

Reorder the terms:
20(22 + 15x) = -9(x + -3)
(22 * 20 + 15x * 20) = -9(x + -3)
(440 + 300x) = -9(x + -3)

Reorder the terms:
440 + 300x = -9(-3 + x)
440 + 300x = (-3 * -9 + x * -9)
440 + 300x = (27 + -9x)

Solving
440 + 300x = 27 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
440 + 300x + 9x = 27 + -9x + 9x

Combine like terms: 300x + 9x = 309x
440 + 309x = 27 + -9x + 9x

Combine like terms: -9x + 9x = 0
440 + 309x = 27 + 0
440 + 309x = 27

Add '-440' to each side of the equation.
440 + -440 + 309x = 27 + -440

Combine like terms: 440 + -440 = 0
0 + 309x = 27 + -440
309x = 27 + -440

Combine like terms: 27 + -440 = -413
309x = -413

Divide each side by '309'.
x = -1.336569579

Simplifying
x = -1.336569579

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