9+8(x-1)=5-9(x-2)

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Solution for 9+8(x-1)=5-9(x-2) equation:


Simplifying
9 + 8(x + -1) = 5 + -9(x + -2)

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

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

Reorder the terms:
1 + 8x = 5 + -9(-2 + x)
1 + 8x = 5 + (-2 * -9 + x * -9)
1 + 8x = 5 + (18 + -9x)

Combine like terms: 5 + 18 = 23
1 + 8x = 23 + -9x

Solving
1 + 8x = 23 + -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.
1 + 8x + 9x = 23 + -9x + 9x

Combine like terms: 8x + 9x = 17x
1 + 17x = 23 + -9x + 9x

Combine like terms: -9x + 9x = 0
1 + 17x = 23 + 0
1 + 17x = 23

Add '-1' to each side of the equation.
1 + -1 + 17x = 23 + -1

Combine like terms: 1 + -1 = 0
0 + 17x = 23 + -1
17x = 23 + -1

Combine like terms: 23 + -1 = 22
17x = 22

Divide each side by '17'.
x = 1.294117647

Simplifying
x = 1.294117647

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