4(x-0.3)=6(x+0.6)

Solution for 4(x-0.3)=6(x+0.6) equation:

Simplifying
4(x + -0.3) = 6(x + 0.6)

Reorder the terms:
4(-0.3 + x) = 6(x + 0.6)
(-0.3 * 4 + x * 4) = 6(x + 0.6)
(-1.2 + 4x) = 6(x + 0.6)

Reorder the terms:
-1.2 + 4x = 6(0.6 + x)
-1.2 + 4x = (0.6 * 6 + x * 6)
-1.2 + 4x = (3.6 + 6x)

Solving
-1.2 + 4x = 3.6 + 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.
-1.2 + 4x + -6x = 3.6 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-1.2 + -2x = 3.6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1.2 + -2x = 3.6 + 0
-1.2 + -2x = 3.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -2x = 3.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -2x = 3.6 + 1.2
-2x = 3.6 + 1.2

Combine like terms: 3.6 + 1.2 = 4.8
-2x = 4.8

Divide each side by '-2'.
x = -2.4

Simplifying
x = -2.4