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

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


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

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

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

Combine like terms: 10x + -4x = 6x
8 + 6x = 2x + 16

Reorder the terms:
8 + 6x = 16 + 2x

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

Combine like terms: 6x + -2x = 4x
8 + 4x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 4x = 16 + 0
8 + 4x = 16

Add '-8' to each side of the equation.
8 + -8 + 4x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 16 + -8
4x = 16 + -8

Combine like terms: 16 + -8 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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