8+4(x-5)=6-8(x-6)

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Solution for 8+4(x-5)=6-8(x-6) equation:


Simplifying
8 + 4(x + -5) = 6 + -8(x + -6)

Reorder the terms:
8 + 4(-5 + x) = 6 + -8(x + -6)
8 + (-5 * 4 + x * 4) = 6 + -8(x + -6)
8 + (-20 + 4x) = 6 + -8(x + -6)

Combine like terms: 8 + -20 = -12
-12 + 4x = 6 + -8(x + -6)

Reorder the terms:
-12 + 4x = 6 + -8(-6 + x)
-12 + 4x = 6 + (-6 * -8 + x * -8)
-12 + 4x = 6 + (48 + -8x)

Combine like terms: 6 + 48 = 54
-12 + 4x = 54 + -8x

Solving
-12 + 4x = 54 + -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 = 54 + -8x + 8x

Combine like terms: 4x + 8x = 12x
-12 + 12x = 54 + -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 12x = 54 + 0
-12 + 12x = 54

Add '12' to each side of the equation.
-12 + 12 + 12x = 54 + 12

Combine like terms: -12 + 12 = 0
0 + 12x = 54 + 12
12x = 54 + 12

Combine like terms: 54 + 12 = 66
12x = 66

Divide each side by '12'.
x = 5.5

Simplifying
x = 5.5

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