4.2x-3=0.5(8.4y-6)

Solution for 4.2x-3=0.5(8.4y-6) equation:

Simplifying
4.2x + -3 = 0.5(8.4y + -6)

Reorder the terms:
-3 + 4.2x = 0.5(8.4y + -6)

Reorder the terms:
-3 + 4.2x = 0.5(-6 + 8.4y)
-3 + 4.2x = (-6 * 0.5 + 8.4y * 0.5)
-3 + 4.2x = (-3 + 4.2y)

Add '3' to each side of the equation.
-3 + 3 + 4.2x = -3 + 3 + 4.2y

Combine like terms: -3 + 3 = 0
0 + 4.2x = -3 + 3 + 4.2y
4.2x = -3 + 3 + 4.2y

Combine like terms: -3 + 3 = 0
4.2x = 0 + 4.2y
4.2x = 4.2y

Solving
4.2x = 4.2y

Solving for variable 'x'.

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

Divide each side by '4.2'.
x = y

Simplifying
x = y