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

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


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

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

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

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

Solving
8 + 2x = 16 + -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.
8 + 2x + 6x = 16 + -6x + 6x

Combine like terms: 2x + 6x = 8x
8 + 8x = 16 + -6x + 6x

Combine like terms: -6x + 6x = 0
8 + 8x = 16 + 0
8 + 8x = 16

Add '-8' to each side of the equation.
8 + -8 + 8x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 16 + -8
8x = 16 + -8

Combine like terms: 16 + -8 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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