4x+9=5(x-1)

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Solution for 4x+9=5(x-1) equation: 


Simplifying
4x + 9 = 5(x + -1)

Reorder the terms:
9 + 4x = 5(x + -1)

Reorder the terms:
9 + 4x = 5(-1 + x)
9 + 4x = (-1 * 5 + x * 5)
9 + 4x = (-5 + 5x)

Solving
9 + 4x = -5 + 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.
9 + 4x + -5x = -5 + 5x + -5x

Combine like terms: 4x + -5x = -1x
9 + -1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -1x = -5 + 0
9 + -1x = -5

Add '-9' to each side of the equation.
9 + -9 + -1x = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -5 + -9
-1x = -5 + -9

Combine like terms: -5 + -9 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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