8(x-2)-3(1-x)=9(x+2)

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Solution for 8(x-2)-3(1-x)=9(x+2) equation:


Simplifying
8(x + -2) + -3(1 + -1x) = 9(x + 2)

Reorder the terms:
8(-2 + x) + -3(1 + -1x) = 9(x + 2)
(-2 * 8 + x * 8) + -3(1 + -1x) = 9(x + 2)
(-16 + 8x) + -3(1 + -1x) = 9(x + 2)
-16 + 8x + (1 * -3 + -1x * -3) = 9(x + 2)
-16 + 8x + (-3 + 3x) = 9(x + 2)

Reorder the terms:
-16 + -3 + 8x + 3x = 9(x + 2)

Combine like terms: -16 + -3 = -19
-19 + 8x + 3x = 9(x + 2)

Combine like terms: 8x + 3x = 11x
-19 + 11x = 9(x + 2)

Reorder the terms:
-19 + 11x = 9(2 + x)
-19 + 11x = (2 * 9 + x * 9)
-19 + 11x = (18 + 9x)

Solving
-19 + 11x = 18 + 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.
-19 + 11x + -9x = 18 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-19 + 2x = 18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-19 + 2x = 18 + 0
-19 + 2x = 18

Add '19' to each side of the equation.
-19 + 19 + 2x = 18 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 18 + 19
2x = 18 + 19

Combine like terms: 18 + 19 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

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