6(x-6)+3(x-4)+(x-8)=5x-1

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Solution for 6(x-6)+3(x-4)+(x-8)=5x-1 equation: 


Simplifying
6(x + -6) + 3(x + -4) + (x + -8) = 5x + -1

Reorder the terms:
6(-6 + x) + 3(x + -4) + (x + -8) = 5x + -1
(-6 * 6 + x * 6) + 3(x + -4) + (x + -8) = 5x + -1
(-36 + 6x) + 3(x + -4) + (x + -8) = 5x + -1

Reorder the terms:
-36 + 6x + 3(-4 + x) + (x + -8) = 5x + -1
-36 + 6x + (-4 * 3 + x * 3) + (x + -8) = 5x + -1
-36 + 6x + (-12 + 3x) + (x + -8) = 5x + -1

Reorder the terms:
-36 + 6x + -12 + 3x + (-8 + x) = 5x + -1

Remove parenthesis around (-8 + x)
-36 + 6x + -12 + 3x + -8 + x = 5x + -1

Reorder the terms:
-36 + -12 + -8 + 6x + 3x + x = 5x + -1

Combine like terms: -36 + -12 = -48
-48 + -8 + 6x + 3x + x = 5x + -1

Combine like terms: -48 + -8 = -56
-56 + 6x + 3x + x = 5x + -1

Combine like terms: 6x + 3x = 9x
-56 + 9x + x = 5x + -1

Combine like terms: 9x + x = 10x
-56 + 10x = 5x + -1

Reorder the terms:
-56 + 10x = -1 + 5x

Solving
-56 + 10x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-56 + 10x + -5x = -1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-56 + 5x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-56 + 5x = -1 + 0
-56 + 5x = -1

Add '56' to each side of the equation.
-56 + 56 + 5x = -1 + 56

Combine like terms: -56 + 56 = 0
0 + 5x = -1 + 56
5x = -1 + 56

Combine like terms: -1 + 56 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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