12x-4(2x+4)=10+x-5

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Solution for 12x-4(2x+4)=10+x-5 equation: 


Simplifying
12x + -4(2x + 4) = 10 + x + -5

Reorder the terms:
12x + -4(4 + 2x) = 10 + x + -5
12x + (4 * -4 + 2x * -4) = 10 + x + -5
12x + (-16 + -8x) = 10 + x + -5

Reorder the terms:
-16 + 12x + -8x = 10 + x + -5

Combine like terms: 12x + -8x = 4x
-16 + 4x = 10 + x + -5

Reorder the terms:
-16 + 4x = 10 + -5 + x

Combine like terms: 10 + -5 = 5
-16 + 4x = 5 + x

Solving
-16 + 4x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 4x + -1x = 5 + x + -1x

Combine like terms: 4x + -1x = 3x
-16 + 3x = 5 + x + -1x

Combine like terms: x + -1x = 0
-16 + 3x = 5 + 0
-16 + 3x = 5

Add '16' to each side of the equation.
-16 + 16 + 3x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 5 + 16
3x = 5 + 16

Combine like terms: 5 + 16 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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