2(h+1.4)=5(h+3.1)+3(h+1.1)

Solution for 2(h+1.4)=5(h+3.1)+3(h+1.1) equation:

Simplifying
2(h + 1.4) = 5(h + 3.1) + 3(h + 1.1)

Reorder the terms:
2(1.4 + h) = 5(h + 3.1) + 3(h + 1.1)
(1.4 * 2 + h * 2) = 5(h + 3.1) + 3(h + 1.1)
(2.8 + 2h) = 5(h + 3.1) + 3(h + 1.1)

Reorder the terms:
2.8 + 2h = 5(3.1 + h) + 3(h + 1.1)
2.8 + 2h = (3.1 * 5 + h * 5) + 3(h + 1.1)
2.8 + 2h = (15.5 + 5h) + 3(h + 1.1)

Reorder the terms:
2.8 + 2h = 15.5 + 5h + 3(1.1 + h)
2.8 + 2h = 15.5 + 5h + (1.1 * 3 + h * 3)
2.8 + 2h = 15.5 + 5h + (3.3 + 3h)

Reorder the terms:
2.8 + 2h = 15.5 + 3.3 + 5h + 3h

Combine like terms: 15.5 + 3.3 = 18.8
2.8 + 2h = 18.8 + 5h + 3h

Combine like terms: 5h + 3h = 8h
2.8 + 2h = 18.8 + 8h

Solving
2.8 + 2h = 18.8 + 8h

Solving for variable 'h'.

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

Add '-8h' to each side of the equation.
2.8 + 2h + -8h = 18.8 + 8h + -8h

Combine like terms: 2h + -8h = -6h
2.8 + -6h = 18.8 + 8h + -8h

Combine like terms: 8h + -8h = 0
2.8 + -6h = 18.8 + 0
2.8 + -6h = 18.8

Add '-2.8' to each side of the equation.
2.8 + -2.8 + -6h = 18.8 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + -6h = 18.8 + -2.8
-6h = 18.8 + -2.8

Combine like terms: 18.8 + -2.8 = 16
-6h = 16

Divide each side by '-6'.
h = -2.666666667

Simplifying
h = -2.666666667