2(x+6)+4x=8-(6x-10)

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Solution for 2(x+6)+4x=8-(6x-10) equation:


Simplifying
2(x + 6) + 4x = 8 + -1(6x + -10)

Reorder the terms:
2(6 + x) + 4x = 8 + -1(6x + -10)
(6 * 2 + x * 2) + 4x = 8 + -1(6x + -10)
(12 + 2x) + 4x = 8 + -1(6x + -10)

Combine like terms: 2x + 4x = 6x
12 + 6x = 8 + -1(6x + -10)

Reorder the terms:
12 + 6x = 8 + -1(-10 + 6x)
12 + 6x = 8 + (-10 * -1 + 6x * -1)
12 + 6x = 8 + (10 + -6x)

Combine like terms: 8 + 10 = 18
12 + 6x = 18 + -6x

Solving
12 + 6x = 18 + -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.
12 + 6x + 6x = 18 + -6x + 6x

Combine like terms: 6x + 6x = 12x
12 + 12x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 12x = 18 + 0
12 + 12x = 18

Add '-12' to each side of the equation.
12 + -12 + 12x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = 18 + -12
12x = 18 + -12

Combine like terms: 18 + -12 = 6
12x = 6

Divide each side by '12'.
x = 0.5

Simplifying
x = 0.5

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