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

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


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

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

Combine like terms: 10 + 8 = 18
18 + -2x = 6 + -4x

Solving
18 + -2x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
18 + -2x + 4x = 6 + -4x + 4x

Combine like terms: -2x + 4x = 2x
18 + 2x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
18 + 2x = 6 + 0
18 + 2x = 6

Add '-18' to each side of the equation.
18 + -18 + 2x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 6 + -18
2x = 6 + -18

Combine like terms: 6 + -18 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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