9x-5(x-3)=(x+4)

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Solution for 9x-5(x-3)=(x+4) equation:


Simplifying
9x + -5(x + -3) = (x + 4)

Reorder the terms:
9x + -5(-3 + x) = (x + 4)
9x + (-3 * -5 + x * -5) = (x + 4)
9x + (15 + -5x) = (x + 4)

Reorder the terms:
15 + 9x + -5x = (x + 4)

Combine like terms: 9x + -5x = 4x
15 + 4x = (x + 4)

Reorder the terms:
15 + 4x = (4 + x)

Remove parenthesis around (4 + x)
15 + 4x = 4 + x

Solving
15 + 4x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
15 + 4x + -1x = 4 + x + -1x

Combine like terms: 4x + -1x = 3x
15 + 3x = 4 + x + -1x

Combine like terms: x + -1x = 0
15 + 3x = 4 + 0
15 + 3x = 4

Add '-15' to each side of the equation.
15 + -15 + 3x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 4 + -15
3x = 4 + -15

Combine like terms: 4 + -15 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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