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

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

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

Reorder the terms:
3(3 + 5x) = 3(4x + 1) + -2(3x + 2)
(3 * 3 + 5x * 3) = 3(4x + 1) + -2(3x + 2)
(9 + 15x) = 3(4x + 1) + -2(3x + 2)

Reorder the terms:
9 + 15x = 3(1 + 4x) + -2(3x + 2)
9 + 15x = (1 * 3 + 4x * 3) + -2(3x + 2)
9 + 15x = (3 + 12x) + -2(3x + 2)

Reorder the terms:
9 + 15x = 3 + 12x + -2(2 + 3x)
9 + 15x = 3 + 12x + (2 * -2 + 3x * -2)
9 + 15x = 3 + 12x + (-4 + -6x)

Reorder the terms:
9 + 15x = 3 + -4 + 12x + -6x

Combine like terms: 3 + -4 = -1
9 + 15x = -1 + 12x + -6x

Combine like terms: 12x + -6x = 6x
9 + 15x = -1 + 6x

Solving
9 + 15x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 15x + -6x = -1 + 6x + -6x

Combine like terms: 15x + -6x = 9x
9 + 9x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 9x = -1 + 0
9 + 9x = -1

Add '-9' to each side of the equation.
9 + -9 + 9x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 9x = -1 + -9
9x = -1 + -9

Combine like terms: -1 + -9 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111