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

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


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

Reorder the terms:
9(-2 + x) = 8(x + -3) + 3
(-2 * 9 + x * 9) = 8(x + -3) + 3
(-18 + 9x) = 8(x + -3) + 3

Reorder the terms:
-18 + 9x = 8(-3 + x) + 3
-18 + 9x = (-3 * 8 + x * 8) + 3
-18 + 9x = (-24 + 8x) + 3

Reorder the terms:
-18 + 9x = -24 + 3 + 8x

Combine like terms: -24 + 3 = -21
-18 + 9x = -21 + 8x

Solving
-18 + 9x = -21 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-18 + 9x + -8x = -21 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-18 + 1x = -21 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + 1x = -21 + 0
-18 + 1x = -21

Add '18' to each side of the equation.
-18 + 18 + 1x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -21 + 18
1x = -21 + 18

Combine like terms: -21 + 18 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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