5+8(x-1)=9-9(x-5)

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Solution for 5+8(x-1)=9-9(x-5) equation:


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

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

Combine like terms: 5 + -8 = -3
-3 + 8x = 9 + -9(x + -5)

Reorder the terms:
-3 + 8x = 9 + -9(-5 + x)
-3 + 8x = 9 + (-5 * -9 + x * -9)
-3 + 8x = 9 + (45 + -9x)

Combine like terms: 9 + 45 = 54
-3 + 8x = 54 + -9x

Solving
-3 + 8x = 54 + -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.
-3 + 8x + 9x = 54 + -9x + 9x

Combine like terms: 8x + 9x = 17x
-3 + 17x = 54 + -9x + 9x

Combine like terms: -9x + 9x = 0
-3 + 17x = 54 + 0
-3 + 17x = 54

Add '3' to each side of the equation.
-3 + 3 + 17x = 54 + 3

Combine like terms: -3 + 3 = 0
0 + 17x = 54 + 3
17x = 54 + 3

Combine like terms: 54 + 3 = 57
17x = 57

Divide each side by '17'.
x = 3.352941176

Simplifying
x = 3.352941176

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