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

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

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

Reorder the terms:
-3(-2 + 7x) = 5 + -1(-5x + 6)
(-2 * -3 + 7x * -3) = 5 + -1(-5x + 6)
(6 + -21x) = 5 + -1(-5x + 6)

Reorder the terms:
6 + -21x = 5 + -1(6 + -5x)
6 + -21x = 5 + (6 * -1 + -5x * -1)
6 + -21x = 5 + (-6 + 5x)

Combine like terms: 5 + -6 = -1
6 + -21x = -1 + 5x

Solving
6 + -21x = -1 + 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 + -21x + -5x = -1 + 5x + -5x

Combine like terms: -21x + -5x = -26x
6 + -26x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -26x = -1 + 0
6 + -26x = -1

Add '-6' to each side of the equation.
6 + -6 + -26x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -26x = -1 + -6
-26x = -1 + -6

Combine like terms: -1 + -6 = -7
-26x = -7

Divide each side by '-26'.
x = 0.2692307692

Simplifying
x = 0.2692307692