11(x-2)=8(x-3)

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Solution for 11(x-2)=8(x-3) equation:


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

Reorder the terms:
11(-2 + x) = 8(x + -3)
(-2 * 11 + x * 11) = 8(x + -3)
(-22 + 11x) = 8(x + -3)

Reorder the terms:
-22 + 11x = 8(-3 + x)
-22 + 11x = (-3 * 8 + x * 8)
-22 + 11x = (-24 + 8x)

Solving
-22 + 11x = -24 + 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.
-22 + 11x + -8x = -24 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-22 + 3x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-22 + 3x = -24 + 0
-22 + 3x = -24

Add '22' to each side of the equation.
-22 + 22 + 3x = -24 + 22

Combine like terms: -22 + 22 = 0
0 + 3x = -24 + 22
3x = -24 + 22

Combine like terms: -24 + 22 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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