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

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

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

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

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

Combine like terms: -12 + 6 = -6
-6 + 3x = 5(x + -1) + 1

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

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

Combine like terms: -5 + 1 = -4
-6 + 3x = -4 + 5x

Solving
-6 + 3x = -4 + 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.
-6 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -4 + 0
-6 + -2x = -4

Add '6' to each side of the equation.
-6 + 6 + -2x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -4 + 6
-2x = -4 + 6

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1