0.4(4x+7)+18.2=0.6(4x-5)

Solution for 0.4(4x+7)+18.2=0.6(4x-5) equation:

Simplifying
0.4(4x + 7) + 18.2 = 0.6(4x + -5)

Reorder the terms:
0.4(7 + 4x) + 18.2 = 0.6(4x + -5)
(7 * 0.4 + 4x * 0.4) + 18.2 = 0.6(4x + -5)
(2.8 + 1.6x) + 18.2 = 0.6(4x + -5)

Reorder the terms:
2.8 + 18.2 + 1.6x = 0.6(4x + -5)

Combine like terms: 2.8 + 18.2 = 21
21 + 1.6x = 0.6(4x + -5)

Reorder the terms:
21 + 1.6x = 0.6(-5 + 4x)
21 + 1.6x = (-5 * 0.6 + 4x * 0.6)
21 + 1.6x = (-3 + 2.4x)

Solving
21 + 1.6x = -3 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
21 + 1.6x + -2.4x = -3 + 2.4x + -2.4x

Combine like terms: 1.6x + -2.4x = -0.8x
21 + -0.8x = -3 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
21 + -0.8x = -3 + 0.0
21 + -0.8x = -3

Add '-21' to each side of the equation.
21 + -21 + -0.8x = -3 + -21

Combine like terms: 21 + -21 = 0
0 + -0.8x = -3 + -21
-0.8x = -3 + -21

Combine like terms: -3 + -21 = -24
-0.8x = -24

Divide each side by '-0.8'.
x = 30

Simplifying
x = 30