10=6-2(x+2)

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


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

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

Combine like terms: 6 + -4 = 2
10 = 2 + -2x

Solving
10 = 2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 2x = 2 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 2x = 2 + 0
10 + 2x = 2

Add '-10' to each side of the equation.
10 + -10 + 2x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 2 + -10
2x = 2 + -10

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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