2(x-3)-1=6(x-8)

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Solution for 2(x-3)-1=6(x-8) equation: 


Simplifying
2(x + -3) + -1 = 6(x + -8)

Reorder the terms:
2(-3 + x) + -1 = 6(x + -8)
(-3 * 2 + x * 2) + -1 = 6(x + -8)
(-6 + 2x) + -1 = 6(x + -8)

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

Combine like terms: -6 + -1 = -7
-7 + 2x = 6(x + -8)

Reorder the terms:
-7 + 2x = 6(-8 + x)
-7 + 2x = (-8 * 6 + x * 6)
-7 + 2x = (-48 + 6x)

Solving
-7 + 2x = -48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 2x + -6x = -48 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-7 + -4x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -4x = -48 + 0
-7 + -4x = -48

Add '7' to each side of the equation.
-7 + 7 + -4x = -48 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -48 + 7
-4x = -48 + 7

Combine like terms: -48 + 7 = -41
-4x = -41

Divide each side by '-4'.
x = 10.25

Simplifying
x = 10.25

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