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

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

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

Reorder the terms:
3(-2 + x) = 5(x + 1)
(-2 * 3 + x * 3) = 5(x + 1)
(-6 + 3x) = 5(x + 1)

Reorder the terms:
-6 + 3x = 5(1 + x)
-6 + 3x = (1 * 5 + x * 5)
-6 + 3x = (5 + 5x)

Solving
-6 + 3x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 3x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-6 + -2x = 5 + 0
-6 + -2x = 5

Add '6' to each side of the equation.
-6 + 6 + -2x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 5 + 6
-2x = 5 + 6

Combine like terms: 5 + 6 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5