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

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


Simplifying
8(2 + x) = 3(x + -3)
(2 * 8 + x * 8) = 3(x + -3)
(16 + 8x) = 3(x + -3)

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

Solving
16 + 8x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 8x + -3x = -9 + 3x + -3x

Combine like terms: 8x + -3x = 5x
16 + 5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 5x = -9 + 0
16 + 5x = -9

Add '-16' to each side of the equation.
16 + -16 + 5x = -9 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -9 + -16
5x = -9 + -16

Combine like terms: -9 + -16 = -25
5x = -25

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

Simplifying
x = -5

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