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

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

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

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

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

Reorder the terms:
5 + -6 + 5x + 3x = 3(3x + -2)

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

Combine like terms: 5x + 3x = 8x
-1 + 8x = 3(3x + -2)

Reorder the terms:
-1 + 8x = 3(-2 + 3x)
-1 + 8x = (-2 * 3 + 3x * 3)
-1 + 8x = (-6 + 9x)

Solving
-1 + 8x = -6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + 8x + -9x = -6 + 9x + -9x

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

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

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

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

Combine like terms: -6 + 1 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5