3.8x-2.2(x-1)=5.3

Solution for 3.8x-2.2(x-1)=5.3 equation:

Simplifying
3.8x + -2.2(x + -1) = 5.3

Reorder the terms:
3.8x + -2.2(-1 + x) = 5.3
3.8x + (-1 * -2.2 + x * -2.2) = 5.3
3.8x + (2.2 + -2.2x) = 5.3

Reorder the terms:
2.2 + 3.8x + -2.2x = 5.3

Combine like terms: 3.8x + -2.2x = 1.6x
2.2 + 1.6x = 5.3

Solving
2.2 + 1.6x = 5.3

Solving for variable 'x'.

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

Add '-2.2' to each side of the equation.
2.2 + -2.2 + 1.6x = 5.3 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 1.6x = 5.3 + -2.2
1.6x = 5.3 + -2.2

Combine like terms: 5.3 + -2.2 = 3.1
1.6x = 3.1

Divide each side by '1.6'.
x = 1.9375

Simplifying
x = 1.9375