3(x-8)=-2(x+6)

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Solution for 3(x-8)=-2(x+6) equation:


Simplifying
3(x + -8) = -2(x + 6)

Reorder the terms:
3(-8 + x) = -2(x + 6)
(-8 * 3 + x * 3) = -2(x + 6)
(-24 + 3x) = -2(x + 6)

Reorder the terms:
-24 + 3x = -2(6 + x)
-24 + 3x = (6 * -2 + x * -2)
-24 + 3x = (-12 + -2x)

Solving
-24 + 3x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-24 + 3x + 2x = -12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-24 + 5x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 5x = -12 + 0
-24 + 5x = -12

Add '24' to each side of the equation.
-24 + 24 + 5x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = -12 + 24
5x = -12 + 24

Combine like terms: -12 + 24 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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