4+9(x-5)=3-5(x-2)

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Solution for 4+9(x-5)=3-5(x-2) equation:


Simplifying
4 + 9(x + -5) = 3 + -5(x + -2)

Reorder the terms:
4 + 9(-5 + x) = 3 + -5(x + -2)
4 + (-5 * 9 + x * 9) = 3 + -5(x + -2)
4 + (-45 + 9x) = 3 + -5(x + -2)

Combine like terms: 4 + -45 = -41
-41 + 9x = 3 + -5(x + -2)

Reorder the terms:
-41 + 9x = 3 + -5(-2 + x)
-41 + 9x = 3 + (-2 * -5 + x * -5)
-41 + 9x = 3 + (10 + -5x)

Combine like terms: 3 + 10 = 13
-41 + 9x = 13 + -5x

Solving
-41 + 9x = 13 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-41 + 9x + 5x = 13 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-41 + 14x = 13 + -5x + 5x

Combine like terms: -5x + 5x = 0
-41 + 14x = 13 + 0
-41 + 14x = 13

Add '41' to each side of the equation.
-41 + 41 + 14x = 13 + 41

Combine like terms: -41 + 41 = 0
0 + 14x = 13 + 41
14x = 13 + 41

Combine like terms: 13 + 41 = 54
14x = 54

Divide each side by '14'.
x = 3.857142857

Simplifying
x = 3.857142857

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