0.5(4x+1)=0.3(x+1)+1.6

Solution for 0.5(4x+1)=0.3(x+1)+1.6 equation:

Simplifying
0.5(4x + 1) = 0.3(x + 1) + 1.6

Reorder the terms:
0.5(1 + 4x) = 0.3(x + 1) + 1.6
(1 * 0.5 + 4x * 0.5) = 0.3(x + 1) + 1.6
(0.5 + 2x) = 0.3(x + 1) + 1.6

Reorder the terms:
0.5 + 2x = 0.3(1 + x) + 1.6
0.5 + 2x = (1 * 0.3 + x * 0.3) + 1.6
0.5 + 2x = (0.3 + 0.3x) + 1.6

Reorder the terms:
0.5 + 2x = 0.3 + 1.6 + 0.3x

Combine like terms: 0.3 + 1.6 = 1.9
0.5 + 2x = 1.9 + 0.3x

Solving
0.5 + 2x = 1.9 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
0.5 + 2x + -0.3x = 1.9 + 0.3x + -0.3x

Combine like terms: 2x + -0.3x = 1.7x
0.5 + 1.7x = 1.9 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.5 + 1.7x = 1.9 + 0.0
0.5 + 1.7x = 1.9

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.7x = 1.9 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.7x = 1.9 + -0.5
1.7x = 1.9 + -0.5

Combine like terms: 1.9 + -0.5 = 1.4
1.7x = 1.4

Divide each side by '1.7'.
x = 0.8235294118

Simplifying
x = 0.8235294118