6(2-x)+3(x+6)=10-4(6+2x)

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Solution for 6(2-x)+3(x+6)=10-4(6+2x) equation:


Simplifying
6(2 + -1x) + 3(x + 6) = 10 + -4(6 + 2x)
(2 * 6 + -1x * 6) + 3(x + 6) = 10 + -4(6 + 2x)
(12 + -6x) + 3(x + 6) = 10 + -4(6 + 2x)

Reorder the terms:
12 + -6x + 3(6 + x) = 10 + -4(6 + 2x)
12 + -6x + (6 * 3 + x * 3) = 10 + -4(6 + 2x)
12 + -6x + (18 + 3x) = 10 + -4(6 + 2x)

Reorder the terms:
12 + 18 + -6x + 3x = 10 + -4(6 + 2x)

Combine like terms: 12 + 18 = 30
30 + -6x + 3x = 10 + -4(6 + 2x)

Combine like terms: -6x + 3x = -3x
30 + -3x = 10 + -4(6 + 2x)
30 + -3x = 10 + (6 * -4 + 2x * -4)
30 + -3x = 10 + (-24 + -8x)

Combine like terms: 10 + -24 = -14
30 + -3x = -14 + -8x

Solving
30 + -3x = -14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
30 + -3x + 8x = -14 + -8x + 8x

Combine like terms: -3x + 8x = 5x
30 + 5x = -14 + -8x + 8x

Combine like terms: -8x + 8x = 0
30 + 5x = -14 + 0
30 + 5x = -14

Add '-30' to each side of the equation.
30 + -30 + 5x = -14 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = -14 + -30
5x = -14 + -30

Combine like terms: -14 + -30 = -44
5x = -44

Divide each side by '5'.
x = -8.8

Simplifying
x = -8.8

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