3(6x-1)+3(16-3x)=2(4x+3)-5

Solution for 3(6x-1)+3(16-3x)=2(4x+3)-5 equation:

Simplifying
3(6x + -1) + 3(16 + -3x) = 2(4x + 3) + -5

Reorder the terms:
3(-1 + 6x) + 3(16 + -3x) = 2(4x + 3) + -5
(-1 * 3 + 6x * 3) + 3(16 + -3x) = 2(4x + 3) + -5
(-3 + 18x) + 3(16 + -3x) = 2(4x + 3) + -5
-3 + 18x + (16 * 3 + -3x * 3) = 2(4x + 3) + -5
-3 + 18x + (48 + -9x) = 2(4x + 3) + -5

Reorder the terms:
-3 + 48 + 18x + -9x = 2(4x + 3) + -5

Combine like terms: -3 + 48 = 45
45 + 18x + -9x = 2(4x + 3) + -5

Combine like terms: 18x + -9x = 9x
45 + 9x = 2(4x + 3) + -5

Reorder the terms:
45 + 9x = 2(3 + 4x) + -5
45 + 9x = (3 * 2 + 4x * 2) + -5
45 + 9x = (6 + 8x) + -5

Reorder the terms:
45 + 9x = 6 + -5 + 8x

Combine like terms: 6 + -5 = 1
45 + 9x = 1 + 8x

Solving
45 + 9x = 1 + 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.
45 + 9x + -8x = 1 + 8x + -8x

Combine like terms: 9x + -8x = 1x
45 + 1x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
45 + 1x = 1 + 0
45 + 1x = 1

Add '-45' to each side of the equation.
45 + -45 + 1x = 1 + -45

Combine like terms: 45 + -45 = 0
0 + 1x = 1 + -45
1x = 1 + -45

Combine like terms: 1 + -45 = -44
1x = -44

Divide each side by '1'.
x = -44

Simplifying
x = -44