4(x+8)+x=-9(4-x)

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Solution for 4(x+8)+x=-9(4-x) equation:


Simplifying
4(x + 8) + x = -9(4 + -1x)

Reorder the terms:
4(8 + x) + x = -9(4 + -1x)
(8 * 4 + x * 4) + x = -9(4 + -1x)
(32 + 4x) + x = -9(4 + -1x)

Combine like terms: 4x + x = 5x
32 + 5x = -9(4 + -1x)
32 + 5x = (4 * -9 + -1x * -9)
32 + 5x = (-36 + 9x)

Solving
32 + 5x = -36 + 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.
32 + 5x + -9x = -36 + 9x + -9x

Combine like terms: 5x + -9x = -4x
32 + -4x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
32 + -4x = -36 + 0
32 + -4x = -36

Add '-32' to each side of the equation.
32 + -32 + -4x = -36 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -36 + -32
-4x = -36 + -32

Combine like terms: -36 + -32 = -68
-4x = -68

Divide each side by '-4'.
x = 17

Simplifying
x = 17

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