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

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


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

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

Reorder the terms:
24 + 6x + 8(-2 + x) = 3(x + 6)
24 + 6x + (-2 * 8 + x * 8) = 3(x + 6)
24 + 6x + (-16 + 8x) = 3(x + 6)

Reorder the terms:
24 + -16 + 6x + 8x = 3(x + 6)

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

Combine like terms: 6x + 8x = 14x
8 + 14x = 3(x + 6)

Reorder the terms:
8 + 14x = 3(6 + x)
8 + 14x = (6 * 3 + x * 3)
8 + 14x = (18 + 3x)

Solving
8 + 14x = 18 + 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.
8 + 14x + -3x = 18 + 3x + -3x

Combine like terms: 14x + -3x = 11x
8 + 11x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 11x = 18 + 0
8 + 11x = 18

Add '-8' to each side of the equation.
8 + -8 + 11x = 18 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = 18 + -8
11x = 18 + -8

Combine like terms: 18 + -8 = 10
11x = 10

Divide each side by '11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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