9(x-5)=8(x-6)-x

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Solution for 9(x-5)=8(x-6)-x equation:


Simplifying
9(x + -5) = 8(x + -6) + -1x

Reorder the terms:
9(-5 + x) = 8(x + -6) + -1x
(-5 * 9 + x * 9) = 8(x + -6) + -1x
(-45 + 9x) = 8(x + -6) + -1x

Reorder the terms:
-45 + 9x = 8(-6 + x) + -1x
-45 + 9x = (-6 * 8 + x * 8) + -1x
-45 + 9x = (-48 + 8x) + -1x

Combine like terms: 8x + -1x = 7x
-45 + 9x = -48 + 7x

Solving
-45 + 9x = -48 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-45 + 9x + -7x = -48 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-45 + 2x = -48 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + 2x = -48 + 0
-45 + 2x = -48

Add '45' to each side of the equation.
-45 + 45 + 2x = -48 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = -48 + 45
2x = -48 + 45

Combine like terms: -48 + 45 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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