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

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


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

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

Reorder the terms:
-9 + 4x = 6 + 9(5 + x)
-9 + 4x = 6 + (5 * 9 + x * 9)
-9 + 4x = 6 + (45 + 9x)

Combine like terms: 6 + 45 = 51
-9 + 4x = 51 + 9x

Solving
-9 + 4x = 51 + 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.
-9 + 4x + -9x = 51 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-9 + -5x = 51 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + -5x = 51 + 0
-9 + -5x = 51

Add '9' to each side of the equation.
-9 + 9 + -5x = 51 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 51 + 9
-5x = 51 + 9

Combine like terms: 51 + 9 = 60
-5x = 60

Divide each side by '-5'.
x = -12

Simplifying
x = -12

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