5.1-4.2(x+1)=-20.1

Solution for 5.1-4.2(x+1)=-20.1 equation:

Simplifying
5.1 + -4.2(x + 1) = -20.1

Reorder the terms:
5.1 + -4.2(1 + x) = -20.1
5.1 + (1 * -4.2 + x * -4.2) = -20.1
5.1 + (-4.2 + -4.2x) = -20.1

Combine like terms: 5.1 + -4.2 = 0.9
0.9 + -4.2x = -20.1

Solving
0.9 + -4.2x = -20.1

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -4.2x = -20.1 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -4.2x = -20.1 + -0.9
-4.2x = -20.1 + -0.9

Combine like terms: -20.1 + -0.9 = -21
-4.2x = -21

Divide each side by '-4.2'.
x = 5

Simplifying
x = 5