x+9=5(4x-5)

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


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

Reorder the terms:
9 + x = 5(4x + -5)

Reorder the terms:
9 + x = 5(-5 + 4x)
9 + x = (-5 * 5 + 4x * 5)
9 + x = (-25 + 20x)

Solving
9 + x = -25 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
9 + x + -20x = -25 + 20x + -20x

Combine like terms: x + -20x = -19x
9 + -19x = -25 + 20x + -20x

Combine like terms: 20x + -20x = 0
9 + -19x = -25 + 0
9 + -19x = -25

Add '-9' to each side of the equation.
9 + -9 + -19x = -25 + -9

Combine like terms: 9 + -9 = 0
0 + -19x = -25 + -9
-19x = -25 + -9

Combine like terms: -25 + -9 = -34
-19x = -34

Divide each side by '-19'.
x = 1.789473684

Simplifying
x = 1.789473684

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