3(1.5x-6.2)+0.5x=2(x-0.3)

Solution for 3(1.5x-6.2)+0.5x=2(x-0.3) equation:

Simplifying
3(1.5x + -6.2) + 0.5x = 2(x + -0.3)

Reorder the terms:
3(-6.2 + 1.5x) + 0.5x = 2(x + -0.3)
(-6.2 * 3 + 1.5x * 3) + 0.5x = 2(x + -0.3)
(-18.6 + 4.5x) + 0.5x = 2(x + -0.3)

Combine like terms: 4.5x + 0.5x = 5x
-18.6 + 5x = 2(x + -0.3)

Reorder the terms:
-18.6 + 5x = 2(-0.3 + x)
-18.6 + 5x = (-0.3 * 2 + x * 2)
-18.6 + 5x = (-0.6 + 2x)

Solving
-18.6 + 5x = -0.6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-18.6 + 5x + -2x = -0.6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-18.6 + 3x = -0.6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18.6 + 3x = -0.6 + 0
-18.6 + 3x = -0.6

Add '18.6' to each side of the equation.
-18.6 + 18.6 + 3x = -0.6 + 18.6

Combine like terms: -18.6 + 18.6 = 0.0
0.0 + 3x = -0.6 + 18.6
3x = -0.6 + 18.6

Combine like terms: -0.6 + 18.6 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6