4x-9=5(x-6)

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Solution for 4x-9=5(x-6) equation:


Simplifying
4x + -9 = 5(x + -6)

Reorder the terms:
-9 + 4x = 5(x + -6)

Reorder the terms:
-9 + 4x = 5(-6 + x)
-9 + 4x = (-6 * 5 + x * 5)
-9 + 4x = (-30 + 5x)

Solving
-9 + 4x = -30 + 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 = -30 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-9 + -1x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -1x = -30 + 0
-9 + -1x = -30

Add '9' to each side of the equation.
-9 + 9 + -1x = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -30 + 9
-1x = -30 + 9

Combine like terms: -30 + 9 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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