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

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


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

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

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

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

Combine like terms: -16 + -9 = -25
3 + 3x = -25 + 8x

Solving
3 + 3x = -25 + 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.
3 + 3x + -8x = -25 + 8x + -8x

Combine like terms: 3x + -8x = -5x
3 + -5x = -25 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -5x = -25 + 0
3 + -5x = -25

Add '-3' to each side of the equation.
3 + -3 + -5x = -25 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -25 + -3
-5x = -25 + -3

Combine like terms: -25 + -3 = -28
-5x = -28

Divide each side by '-5'.
x = 5.6

Simplifying
x = 5.6

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