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

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

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

Reorder the terms:
5(3 + 2x) + -3(3x + 2) = 1
(3 * 5 + 2x * 5) + -3(3x + 2) = 1
(15 + 10x) + -3(3x + 2) = 1

Reorder the terms:
15 + 10x + -3(2 + 3x) = 1
15 + 10x + (2 * -3 + 3x * -3) = 1
15 + 10x + (-6 + -9x) = 1

Reorder the terms:
15 + -6 + 10x + -9x = 1

Combine like terms: 15 + -6 = 9
9 + 10x + -9x = 1

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

Solving
9 + 1x = 1

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = -8

Simplifying
x = -8