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

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

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

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

Reorder the terms:
-6 + 6x = 5(-4 + x)
-6 + 6x = (-4 * 5 + x * 5)
-6 + 6x = (-20 + 5x)

Solving
-6 + 6x = -20 + 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 + 6x + -5x = -20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-6 + 1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 1x = -20 + 0
-6 + 1x = -20

Add '6' to each side of the equation.
-6 + 6 + 1x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -20 + 6
1x = -20 + 6

Combine like terms: -20 + 6 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14