9x=2(7x-3)-9(x-1)

Solution for 9x=2(7x-3)-9(x-1) equation:

Simplifying
9x = 2(7x + -3) + -9(x + -1)

Reorder the terms:
9x = 2(-3 + 7x) + -9(x + -1)
9x = (-3 * 2 + 7x * 2) + -9(x + -1)
9x = (-6 + 14x) + -9(x + -1)

Reorder the terms:
9x = -6 + 14x + -9(-1 + x)
9x = -6 + 14x + (-1 * -9 + x * -9)
9x = -6 + 14x + (9 + -9x)

Reorder the terms:
9x = -6 + 9 + 14x + -9x

Combine like terms: -6 + 9 = 3
9x = 3 + 14x + -9x

Combine like terms: 14x + -9x = 5x
9x = 3 + 5x

Solving
9x = 3 + 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.
9x + -5x = 3 + 5x + -5x

Combine like terms: 9x + -5x = 4x
4x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
4x = 3 + 0
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75