-2(7x-3)+9x=6+5(2x-1)

Solution for -2(7x-3)+9x=6+5(2x-1) equation:

Simplifying
-2(7x + -3) + 9x = 6 + 5(2x + -1)

Reorder the terms:
-2(-3 + 7x) + 9x = 6 + 5(2x + -1)
(-3 * -2 + 7x * -2) + 9x = 6 + 5(2x + -1)
(6 + -14x) + 9x = 6 + 5(2x + -1)

Combine like terms: -14x + 9x = -5x
6 + -5x = 6 + 5(2x + -1)

Reorder the terms:
6 + -5x = 6 + 5(-1 + 2x)
6 + -5x = 6 + (-1 * 5 + 2x * 5)
6 + -5x = 6 + (-5 + 10x)

Combine like terms: 6 + -5 = 1
6 + -5x = 1 + 10x

Solving
6 + -5x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -5x + -10x = 1 + 10x + -10x

Combine like terms: -5x + -10x = -15x
6 + -15x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -15x = 1 + 0
6 + -15x = 1

Add '-6' to each side of the equation.
6 + -6 + -15x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = 1 + -6
-15x = 1 + -6

Combine like terms: 1 + -6 = -5
-15x = -5

Divide each side by '-15'.
x = 0.3333333333

Simplifying
x = 0.3333333333