4.2(2x+3)=6.2(2x-3)

Solution for 4.2(2x+3)=6.2(2x-3) equation:

Simplifying
4.2(2x + 3) = 6.2(2x + -3)

Reorder the terms:
4.2(3 + 2x) = 6.2(2x + -3)
(3 * 4.2 + 2x * 4.2) = 6.2(2x + -3)
(12.6 + 8.4x) = 6.2(2x + -3)

Reorder the terms:
12.6 + 8.4x = 6.2(-3 + 2x)
12.6 + 8.4x = (-3 * 6.2 + 2x * 6.2)
12.6 + 8.4x = (-18.6 + 12.4x)

Solving
12.6 + 8.4x = -18.6 + 12.4x

Solving for variable 'x'.

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

Add '-12.4x' to each side of the equation.
12.6 + 8.4x + -12.4x = -18.6 + 12.4x + -12.4x

Combine like terms: 8.4x + -12.4x = -4x
12.6 + -4x = -18.6 + 12.4x + -12.4x

Combine like terms: 12.4x + -12.4x = 0.0
12.6 + -4x = -18.6 + 0.0
12.6 + -4x = -18.6

Add '-12.6' to each side of the equation.
12.6 + -12.6 + -4x = -18.6 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + -4x = -18.6 + -12.6
-4x = -18.6 + -12.6

Combine like terms: -18.6 + -12.6 = -31.2
-4x = -31.2

Divide each side by '-4'.
x = 7.8

Simplifying
x = 7.8