5+-(x-9)=11-4(x-8)

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Solution for 5+-(x-9)=11-4(x-8) equation:


Simplifying
5 + -1(x + -9) = 11 + -4(x + -8)

Reorder the terms:
5 + -1(-9 + x) = 11 + -4(x + -8)
5 + (-9 * -1 + x * -1) = 11 + -4(x + -8)
5 + (9 + -1x) = 11 + -4(x + -8)

Combine like terms: 5 + 9 = 14
14 + -1x = 11 + -4(x + -8)

Reorder the terms:
14 + -1x = 11 + -4(-8 + x)
14 + -1x = 11 + (-8 * -4 + x * -4)
14 + -1x = 11 + (32 + -4x)

Combine like terms: 11 + 32 = 43
14 + -1x = 43 + -4x

Solving
14 + -1x = 43 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
14 + -1x + 4x = 43 + -4x + 4x

Combine like terms: -1x + 4x = 3x
14 + 3x = 43 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + 3x = 43 + 0
14 + 3x = 43

Add '-14' to each side of the equation.
14 + -14 + 3x = 43 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 43 + -14
3x = 43 + -14

Combine like terms: 43 + -14 = 29
3x = 29

Divide each side by '3'.
x = 9.666666667

Simplifying
x = 9.666666667

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