5x+6(x-1)=x-2(x-3)

Solution for 5x+6(x-1)=x-2(x-3) equation:

Simplifying
5x + 6(x + -1) = x + -2(x + -3)

Reorder the terms:
5x + 6(-1 + x) = x + -2(x + -3)
5x + (-1 * 6 + x * 6) = x + -2(x + -3)
5x + (-6 + 6x) = x + -2(x + -3)

Reorder the terms:
-6 + 5x + 6x = x + -2(x + -3)

Combine like terms: 5x + 6x = 11x
-6 + 11x = x + -2(x + -3)

Reorder the terms:
-6 + 11x = x + -2(-3 + x)
-6 + 11x = x + (-3 * -2 + x * -2)
-6 + 11x = x + (6 + -2x)

Reorder the terms:
-6 + 11x = 6 + x + -2x

Combine like terms: x + -2x = -1x
-6 + 11x = 6 + -1x

Solving
-6 + 11x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 11x + x = 6 + -1x + x

Combine like terms: 11x + x = 12x
-6 + 12x = 6 + -1x + x

Combine like terms: -1x + x = 0
-6 + 12x = 6 + 0
-6 + 12x = 6

Add '6' to each side of the equation.
-6 + 6 + 12x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 6 + 6
12x = 6 + 6

Combine like terms: 6 + 6 = 12
12x = 12

Divide each side by '12'.
x = 1

Simplifying
x = 1