20(9x+10)=30(x-3)

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Solution for 20(9x+10)=30(x-3) equation: 


Simplifying
20(9x + 10) = 30(x + -3)

Reorder the terms:
20(10 + 9x) = 30(x + -3)
(10 * 20 + 9x * 20) = 30(x + -3)
(200 + 180x) = 30(x + -3)

Reorder the terms:
200 + 180x = 30(-3 + x)
200 + 180x = (-3 * 30 + x * 30)
200 + 180x = (-90 + 30x)

Solving
200 + 180x = -90 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
200 + 180x + -30x = -90 + 30x + -30x

Combine like terms: 180x + -30x = 150x
200 + 150x = -90 + 30x + -30x

Combine like terms: 30x + -30x = 0
200 + 150x = -90 + 0
200 + 150x = -90

Add '-200' to each side of the equation.
200 + -200 + 150x = -90 + -200

Combine like terms: 200 + -200 = 0
0 + 150x = -90 + -200
150x = -90 + -200

Combine like terms: -90 + -200 = -290
150x = -290

Divide each side by '150'.
x = -1.933333333

Simplifying
x = -1.933333333

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