4+4(x-4)=6-8(x-4)

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Solution for 4+4(x-4)=6-8(x-4) equation:


Simplifying
4 + 4(x + -4) = 6 + -8(x + -4)

Reorder the terms:
4 + 4(-4 + x) = 6 + -8(x + -4)
4 + (-4 * 4 + x * 4) = 6 + -8(x + -4)
4 + (-16 + 4x) = 6 + -8(x + -4)

Combine like terms: 4 + -16 = -12
-12 + 4x = 6 + -8(x + -4)

Reorder the terms:
-12 + 4x = 6 + -8(-4 + x)
-12 + 4x = 6 + (-4 * -8 + x * -8)
-12 + 4x = 6 + (32 + -8x)

Combine like terms: 6 + 32 = 38
-12 + 4x = 38 + -8x

Solving
-12 + 4x = 38 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-12 + 4x + 8x = 38 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-12 + 12x = 38 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 12x = 38 + 0
-12 + 12x = 38

Add '12' to each side of the equation.
-12 + 12 + 12x = 38 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 38 + 12
12x = 38 + 12

Combine like terms: 38 + 12 = 50
12x = 50

Divide each side by '12'.
x = 4.166666667

Simplifying
x = 4.166666667

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