6.1-1.1(x+7.9)=13-8(x+1)

Solution for 6.1-1.1(x+7.9)=13-8(x+1) equation:

Simplifying
6.1 + -1.1(x + 7.9) = 13 + -8(x + 1)

Reorder the terms:
6.1 + -1.1(7.9 + x) = 13 + -8(x + 1)
6.1 + (7.9 * -1.1 + x * -1.1) = 13 + -8(x + 1)
6.1 + (-8.69 + -1.1x) = 13 + -8(x + 1)

Combine like terms: 6.1 + -8.69 = -2.59
-2.59 + -1.1x = 13 + -8(x + 1)

Reorder the terms:
-2.59 + -1.1x = 13 + -8(1 + x)
-2.59 + -1.1x = 13 + (1 * -8 + x * -8)
-2.59 + -1.1x = 13 + (-8 + -8x)

Combine like terms: 13 + -8 = 5
-2.59 + -1.1x = 5 + -8x

Solving
-2.59 + -1.1x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-2.59 + -1.1x + 8x = 5 + -8x + 8x

Combine like terms: -1.1x + 8x = 6.9x
-2.59 + 6.9x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2.59 + 6.9x = 5 + 0
-2.59 + 6.9x = 5

Add '2.59' to each side of the equation.
-2.59 + 2.59 + 6.9x = 5 + 2.59

Combine like terms: -2.59 + 2.59 = 0.00
0.00 + 6.9x = 5 + 2.59
6.9x = 5 + 2.59

Combine like terms: 5 + 2.59 = 7.59
6.9x = 7.59

Divide each side by '6.9'.
x = 1.1

Simplifying
x = 1.1