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

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


Simplifying
5x + -4(4 + -1x) = x + 12
5x + (4 * -4 + -1x * -4) = x + 12
5x + (-16 + 4x) = x + 12

Reorder the terms:
-16 + 5x + 4x = x + 12

Combine like terms: 5x + 4x = 9x
-16 + 9x = x + 12

Reorder the terms:
-16 + 9x = 12 + x

Solving
-16 + 9x = 12 + 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 + 9x + -1x = 12 + x + -1x

Combine like terms: 9x + -1x = 8x
-16 + 8x = 12 + x + -1x

Combine like terms: x + -1x = 0
-16 + 8x = 12 + 0
-16 + 8x = 12

Add '16' to each side of the equation.
-16 + 16 + 8x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 12 + 16
8x = 12 + 16

Combine like terms: 12 + 16 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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