20(-13x+4)=9(x-3)

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Solution for 20(-13x+4)=9(x-3) equation:


Simplifying
20(-13x + 4) = 9(x + -3)

Reorder the terms:
20(4 + -13x) = 9(x + -3)
(4 * 20 + -13x * 20) = 9(x + -3)
(80 + -260x) = 9(x + -3)

Reorder the terms:
80 + -260x = 9(-3 + x)
80 + -260x = (-3 * 9 + x * 9)
80 + -260x = (-27 + 9x)

Solving
80 + -260x = -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.
80 + -260x + -9x = -27 + 9x + -9x

Combine like terms: -260x + -9x = -269x
80 + -269x = -27 + 9x + -9x

Combine like terms: 9x + -9x = 0
80 + -269x = -27 + 0
80 + -269x = -27

Add '-80' to each side of the equation.
80 + -80 + -269x = -27 + -80

Combine like terms: 80 + -80 = 0
0 + -269x = -27 + -80
-269x = -27 + -80

Combine like terms: -27 + -80 = -107
-269x = -107

Divide each side by '-269'.
x = 0.3977695167

Simplifying
x = 0.3977695167

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