9(x+1)=4x-6

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Solution for 9(x+1)=4x-6 equation:


Simplifying
9(x + 1) = 4x + -6

Reorder the terms:
9(1 + x) = 4x + -6
(1 * 9 + x * 9) = 4x + -6
(9 + 9x) = 4x + -6

Reorder the terms:
9 + 9x = -6 + 4x

Solving
9 + 9x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 9x + -4x = -6 + 4x + -4x

Combine like terms: 9x + -4x = 5x
9 + 5x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 5x = -6 + 0
9 + 5x = -6

Add '-9' to each side of the equation.
9 + -9 + 5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -6 + -9
5x = -6 + -9

Combine like terms: -6 + -9 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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