0.3(x+1)+2.12=.3(4x+2)

Solution for 0.3(x+1)+2.12=.3(4x+2) equation:

Simplifying
0.3(x + 1) + 2.12 = 0.3(4x + 2)

Reorder the terms:
0.3(1 + x) + 2.12 = 0.3(4x + 2)
(1 * 0.3 + x * 0.3) + 2.12 = 0.3(4x + 2)
(0.3 + 0.3x) + 2.12 = 0.3(4x + 2)

Reorder the terms:
0.3 + 2.12 + 0.3x = 0.3(4x + 2)

Combine like terms: 0.3 + 2.12 = 2.42
2.42 + 0.3x = 0.3(4x + 2)

Reorder the terms:
2.42 + 0.3x = 0.3(2 + 4x)
2.42 + 0.3x = (2 * 0.3 + 4x * 0.3)
2.42 + 0.3x = (0.6 + 1.2x)

Solving
2.42 + 0.3x = 0.6 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
2.42 + 0.3x + -1.2x = 0.6 + 1.2x + -1.2x

Combine like terms: 0.3x + -1.2x = -0.9x
2.42 + -0.9x = 0.6 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
2.42 + -0.9x = 0.6 + 0.0
2.42 + -0.9x = 0.6

Add '-2.42' to each side of the equation.
2.42 + -2.42 + -0.9x = 0.6 + -2.42

Combine like terms: 2.42 + -2.42 = 0.00
0.00 + -0.9x = 0.6 + -2.42
-0.9x = 0.6 + -2.42

Combine like terms: 0.6 + -2.42 = -1.82
-0.9x = -1.82

Divide each side by '-0.9'.
x = 2.022222222

Simplifying
x = 2.022222222