x+4(x-1)=9(x+3)

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Solution for x+4(x-1)=9(x+3) equation:


Simplifying
x + 4(x + -1) = 9(x + 3)

Reorder the terms:
x + 4(-1 + x) = 9(x + 3)
x + (-1 * 4 + x * 4) = 9(x + 3)
x + (-4 + 4x) = 9(x + 3)

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

Combine like terms: x + 4x = 5x
-4 + 5x = 9(x + 3)

Reorder the terms:
-4 + 5x = 9(3 + x)
-4 + 5x = (3 * 9 + x * 9)
-4 + 5x = (27 + 9x)

Solving
-4 + 5x = 27 + 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.
-4 + 5x + -9x = 27 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-4 + -4x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -4x = 27 + 0
-4 + -4x = 27

Add '4' to each side of the equation.
-4 + 4 + -4x = 27 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 27 + 4
-4x = 27 + 4

Combine like terms: 27 + 4 = 31
-4x = 31

Divide each side by '-4'.
x = -7.75

Simplifying
x = -7.75

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