0.09-1(x+1)=2(2-x)

Solution for 0.09-1(x+1)=2(2-x) equation:

Simplifying
0.09 + -1(x + 1) = 2(2 + -1x)

Reorder the terms:
0.09 + -1(1 + x) = 2(2 + -1x)
0.09 + (1 * -1 + x * -1) = 2(2 + -1x)
0.09 + (-1 + -1x) = 2(2 + -1x)

Combine like terms: 0.09 + -1 = -0.91
-0.91 + -1x = 2(2 + -1x)
-0.91 + -1x = (2 * 2 + -1x * 2)
-0.91 + -1x = (4 + -2x)

Solving
-0.91 + -1x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-0.91 + -1x + 2x = 4 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-0.91 + 1x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-0.91 + 1x = 4 + 0
-0.91 + 1x = 4

Add '0.91' to each side of the equation.
-0.91 + 0.91 + 1x = 4 + 0.91

Combine like terms: -0.91 + 0.91 = 0.00
0.00 + 1x = 4 + 0.91
1x = 4 + 0.91

Combine like terms: 4 + 0.91 = 4.91
1x = 4.91

Divide each side by '1'.
x = 4.91

Simplifying
x = 4.91