5(x-4)=-9(x+3)+41

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Solution for 5(x-4)=-9(x+3)+41 equation:


Simplifying
5(x + -4) = -9(x + 3) + 41

Reorder the terms:
5(-4 + x) = -9(x + 3) + 41
(-4 * 5 + x * 5) = -9(x + 3) + 41
(-20 + 5x) = -9(x + 3) + 41

Reorder the terms:
-20 + 5x = -9(3 + x) + 41
-20 + 5x = (3 * -9 + x * -9) + 41
-20 + 5x = (-27 + -9x) + 41

Reorder the terms:
-20 + 5x = -27 + 41 + -9x

Combine like terms: -27 + 41 = 14
-20 + 5x = 14 + -9x

Solving
-20 + 5x = 14 + -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.
-20 + 5x + 9x = 14 + -9x + 9x

Combine like terms: 5x + 9x = 14x
-20 + 14x = 14 + -9x + 9x

Combine like terms: -9x + 9x = 0
-20 + 14x = 14 + 0
-20 + 14x = 14

Add '20' to each side of the equation.
-20 + 20 + 14x = 14 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 14 + 20
14x = 14 + 20

Combine like terms: 14 + 20 = 34
14x = 34

Divide each side by '14'.
x = 2.428571429

Simplifying
x = 2.428571429

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