8(x+3)+2(x-4)=6(x-3)+3(x+2)

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Solution for 8(x+3)+2(x-4)=6(x-3)+3(x+2) equation: 


Simplifying
8(x + 3) + 2(x + -4) = 6(x + -3) + 3(x + 2)

Reorder the terms:
8(3 + x) + 2(x + -4) = 6(x + -3) + 3(x + 2)
(3 * 8 + x * 8) + 2(x + -4) = 6(x + -3) + 3(x + 2)
(24 + 8x) + 2(x + -4) = 6(x + -3) + 3(x + 2)

Reorder the terms:
24 + 8x + 2(-4 + x) = 6(x + -3) + 3(x + 2)
24 + 8x + (-4 * 2 + x * 2) = 6(x + -3) + 3(x + 2)
24 + 8x + (-8 + 2x) = 6(x + -3) + 3(x + 2)

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

Combine like terms: 24 + -8 = 16
16 + 8x + 2x = 6(x + -3) + 3(x + 2)

Combine like terms: 8x + 2x = 10x
16 + 10x = 6(x + -3) + 3(x + 2)

Reorder the terms:
16 + 10x = 6(-3 + x) + 3(x + 2)
16 + 10x = (-3 * 6 + x * 6) + 3(x + 2)
16 + 10x = (-18 + 6x) + 3(x + 2)

Reorder the terms:
16 + 10x = -18 + 6x + 3(2 + x)
16 + 10x = -18 + 6x + (2 * 3 + x * 3)
16 + 10x = -18 + 6x + (6 + 3x)

Reorder the terms:
16 + 10x = -18 + 6 + 6x + 3x

Combine like terms: -18 + 6 = -12
16 + 10x = -12 + 6x + 3x

Combine like terms: 6x + 3x = 9x
16 + 10x = -12 + 9x

Solving
16 + 10x = -12 + 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.
16 + 10x + -9x = -12 + 9x + -9x

Combine like terms: 10x + -9x = 1x
16 + 1x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
16 + 1x = -12 + 0
16 + 1x = -12

Add '-16' to each side of the equation.
16 + -16 + 1x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -12 + -16
1x = -12 + -16

Combine like terms: -12 + -16 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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