8(x-3)=-6(x+4)+32

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Solution for 8(x-3)=-6(x+4)+32 equation: 


Simplifying
8(x + -3) = -6(x + 4) + 32

Reorder the terms:
8(-3 + x) = -6(x + 4) + 32
(-3 * 8 + x * 8) = -6(x + 4) + 32
(-24 + 8x) = -6(x + 4) + 32

Reorder the terms:
-24 + 8x = -6(4 + x) + 32
-24 + 8x = (4 * -6 + x * -6) + 32
-24 + 8x = (-24 + -6x) + 32

Reorder the terms:
-24 + 8x = -24 + 32 + -6x

Combine like terms: -24 + 32 = 8
-24 + 8x = 8 + -6x

Solving
-24 + 8x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-24 + 8x + 6x = 8 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-24 + 14x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
-24 + 14x = 8 + 0
-24 + 14x = 8

Add '24' to each side of the equation.
-24 + 24 + 14x = 8 + 24

Combine like terms: -24 + 24 = 0
0 + 14x = 8 + 24
14x = 8 + 24

Combine like terms: 8 + 24 = 32
14x = 32

Divide each side by '14'.
x = 2.285714286

Simplifying
x = 2.285714286

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