0.2(3+4x)=0.4x+1.4

Solution for 0.2(3+4x)=0.4x+1.4 equation:

Simplifying
0.2(3 + 4x) = 0.4x + 1.4
(3 * 0.2 + 4x * 0.2) = 0.4x + 1.4
(0.6 + 0.8x) = 0.4x + 1.4

Reorder the terms:
0.6 + 0.8x = 1.4 + 0.4x

Solving
0.6 + 0.8x = 1.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.6 + 0.8x + -0.4x = 1.4 + 0.4x + -0.4x

Combine like terms: 0.8x + -0.4x = 0.4x
0.6 + 0.4x = 1.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.6 + 0.4x = 1.4 + 0.0
0.6 + 0.4x = 1.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.4x = 1.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.4x = 1.4 + -0.6
0.4x = 1.4 + -0.6

Combine like terms: 1.4 + -0.6 = 0.8
0.4x = 0.8

Divide each side by '0.4'.
x = 2

Simplifying
x = 2