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

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


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

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

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

Combine like terms: -6 + 1 = -5
-5 + 6x = 3(x + -1) + -8

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

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

Combine like terms: -3 + -8 = -11
-5 + 6x = -11 + 3x

Solving
-5 + 6x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 6x + -3x = -11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-5 + 3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 3x = -11 + 0
-5 + 3x = -11

Add '5' to each side of the equation.
-5 + 5 + 3x = -11 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -11 + 5
3x = -11 + 5

Combine like terms: -11 + 5 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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