4x-5(x-12)=40+9(9-x)-11

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Solution for 4x-5(x-12)=40+9(9-x)-11 equation:


Simplifying
4x + -5(x + -12) = 40 + 9(9 + -1x) + -11

Reorder the terms:
4x + -5(-12 + x) = 40 + 9(9 + -1x) + -11
4x + (-12 * -5 + x * -5) = 40 + 9(9 + -1x) + -11
4x + (60 + -5x) = 40 + 9(9 + -1x) + -11

Reorder the terms:
60 + 4x + -5x = 40 + 9(9 + -1x) + -11

Combine like terms: 4x + -5x = -1x
60 + -1x = 40 + 9(9 + -1x) + -11
60 + -1x = 40 + (9 * 9 + -1x * 9) + -11
60 + -1x = 40 + (81 + -9x) + -11

Reorder the terms:
60 + -1x = 40 + 81 + -11 + -9x

Combine like terms: 40 + 81 = 121
60 + -1x = 121 + -11 + -9x

Combine like terms: 121 + -11 = 110
60 + -1x = 110 + -9x

Solving
60 + -1x = 110 + -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.
60 + -1x + 9x = 110 + -9x + 9x

Combine like terms: -1x + 9x = 8x
60 + 8x = 110 + -9x + 9x

Combine like terms: -9x + 9x = 0
60 + 8x = 110 + 0
60 + 8x = 110

Add '-60' to each side of the equation.
60 + -60 + 8x = 110 + -60

Combine like terms: 60 + -60 = 0
0 + 8x = 110 + -60
8x = 110 + -60

Combine like terms: 110 + -60 = 50
8x = 50

Divide each side by '8'.
x = 6.25

Simplifying
x = 6.25

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