6(x-1)=-2(2x-5)

Solution for 6(x-1)=-2(2x-5) equation:

Simplifying
6(x + -1) = -2(2x + -5)

Reorder the terms:
6(-1 + x) = -2(2x + -5)
(-1 * 6 + x * 6) = -2(2x + -5)
(-6 + 6x) = -2(2x + -5)

Reorder the terms:
-6 + 6x = -2(-5 + 2x)
-6 + 6x = (-5 * -2 + 2x * -2)
-6 + 6x = (10 + -4x)

Solving
-6 + 6x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + 6x + 4x = 10 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-6 + 10x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 10x = 10 + 0
-6 + 10x = 10

Add '6' to each side of the equation.
-6 + 6 + 10x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 10 + 6
10x = 10 + 6

Combine like terms: 10 + 6 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6