6(x+8)-2(x-4)=1

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Solution for 6(x+8)-2(x-4)=1 equation: 


Simplifying
6(x + 8) + -2(x + -4) = 1

Reorder the terms:
6(8 + x) + -2(x + -4) = 1
(8 * 6 + x * 6) + -2(x + -4) = 1
(48 + 6x) + -2(x + -4) = 1

Reorder the terms:
48 + 6x + -2(-4 + x) = 1
48 + 6x + (-4 * -2 + x * -2) = 1
48 + 6x + (8 + -2x) = 1

Reorder the terms:
48 + 8 + 6x + -2x = 1

Combine like terms: 48 + 8 = 56
56 + 6x + -2x = 1

Combine like terms: 6x + -2x = 4x
56 + 4x = 1

Solving
56 + 4x = 1

Solving for variable 'x'.

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

Add '-56' to each side of the equation.
56 + -56 + 4x = 1 + -56

Combine like terms: 56 + -56 = 0
0 + 4x = 1 + -56
4x = 1 + -56

Combine like terms: 1 + -56 = -55
4x = -55

Divide each side by '4'.
x = -13.75

Simplifying
x = -13.75

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