10-4(x-2)=2x+16

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Solution for 10-4(x-2)=2x+16 equation:


Simplifying
10 + -4(x + -2) = 2x + 16

Reorder the terms:
10 + -4(-2 + x) = 2x + 16
10 + (-2 * -4 + x * -4) = 2x + 16
10 + (8 + -4x) = 2x + 16

Combine like terms: 10 + 8 = 18
18 + -4x = 2x + 16

Reorder the terms:
18 + -4x = 16 + 2x

Solving
18 + -4x = 16 + 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.
18 + -4x + -2x = 16 + 2x + -2x

Combine like terms: -4x + -2x = -6x
18 + -6x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -6x = 16 + 0
18 + -6x = 16

Add '-18' to each side of the equation.
18 + -18 + -6x = 16 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = 16 + -18
-6x = 16 + -18

Combine like terms: 16 + -18 = -2
-6x = -2

Divide each side by '-6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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