6+3(5x-5)=6-4(2x+1)

Solution for 6+3(5x-5)=6-4(2x+1) equation:

Simplifying
6 + 3(5x + -5) = 6 + -4(2x + 1)

Reorder the terms:
6 + 3(-5 + 5x) = 6 + -4(2x + 1)
6 + (-5 * 3 + 5x * 3) = 6 + -4(2x + 1)
6 + (-15 + 15x) = 6 + -4(2x + 1)

Combine like terms: 6 + -15 = -9
-9 + 15x = 6 + -4(2x + 1)

Reorder the terms:
-9 + 15x = 6 + -4(1 + 2x)
-9 + 15x = 6 + (1 * -4 + 2x * -4)
-9 + 15x = 6 + (-4 + -8x)

Combine like terms: 6 + -4 = 2
-9 + 15x = 2 + -8x

Solving
-9 + 15x = 2 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9 + 15x + 8x = 2 + -8x + 8x

Combine like terms: 15x + 8x = 23x
-9 + 23x = 2 + -8x + 8x

Combine like terms: -8x + 8x = 0
-9 + 23x = 2 + 0
-9 + 23x = 2

Add '9' to each side of the equation.
-9 + 9 + 23x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + 23x = 2 + 9
23x = 2 + 9

Combine like terms: 2 + 9 = 11
23x = 11

Divide each side by '23'.
x = 0.4782608696

Simplifying
x = 0.4782608696