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

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Solution for 2(x-4)+x=-9(5-x) equation:


Simplifying
2(x + -4) + x = -9(5 + -1x)

Reorder the terms:
2(-4 + x) + x = -9(5 + -1x)
(-4 * 2 + x * 2) + x = -9(5 + -1x)
(-8 + 2x) + x = -9(5 + -1x)

Combine like terms: 2x + x = 3x
-8 + 3x = -9(5 + -1x)
-8 + 3x = (5 * -9 + -1x * -9)
-8 + 3x = (-45 + 9x)

Solving
-8 + 3x = -45 + 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.
-8 + 3x + -9x = -45 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-8 + -6x = -45 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -6x = -45 + 0
-8 + -6x = -45

Add '8' to each side of the equation.
-8 + 8 + -6x = -45 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = -45 + 8
-6x = -45 + 8

Combine like terms: -45 + 8 = -37
-6x = -37

Divide each side by '-6'.
x = 6.166666667

Simplifying
x = 6.166666667

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