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

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

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

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

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

Combine like terms: 5x + -2x = 3x
3(-2 + 3x) = 3(2x + 1)
(-2 * 3 + 3x * 3) = 3(2x + 1)
(-6 + 9x) = 3(2x + 1)

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

Solving
-6 + 9x = 3 + 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.
-6 + 9x + -6x = 3 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-6 + 3x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 3x = 3 + 0
-6 + 3x = 3

Add '6' to each side of the equation.
-6 + 6 + 3x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 3 + 6
3x = 3 + 6

Combine like terms: 3 + 6 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3