6=5x+3(x-2)

Solution for 6=5x+3(x-2) equation:

Simplifying
6 = 5x + 3(x + -2)

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

Reorder the terms:
6 = -6 + 5x + 3x

Combine like terms: 5x + 3x = 8x
6 = -6 + 8x

Solving
6 = -6 + 8x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -8x = 0
6 + -8x = -6 + 0
6 + -8x = -6

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

Combine like terms: 6 + -6 = 0
0 + -8x = -6 + -6
-8x = -6 + -6

Combine like terms: -6 + -6 = -12
-8x = -12

Divide each side by '-8'.
x = 1.5

Simplifying
x = 1.5