8(x-3)=9x-2

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Solution for 8(x-3)=9x-2 equation:


Simplifying
8(x + -3) = 9x + -2

Reorder the terms:
8(-3 + x) = 9x + -2
(-3 * 8 + x * 8) = 9x + -2
(-24 + 8x) = 9x + -2

Reorder the terms:
-24 + 8x = -2 + 9x

Solving
-24 + 8x = -2 + 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.
-24 + 8x + -9x = -2 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-24 + -1x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -1x = -2 + 0
-24 + -1x = -2

Add '24' to each side of the equation.
-24 + 24 + -1x = -2 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -2 + 24
-1x = -2 + 24

Combine like terms: -2 + 24 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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