5.3(v-5)=(1+3.5v)-29.8

Solution for 5.3(v-5)=(1+3.5v)-29.8 equation:

Simplifying
5.3(v + -5) = (1 + 3.5v) + -29.8

Reorder the terms:
5.3(-5 + v) = (1 + 3.5v) + -29.8
(-5 * 5.3 + v * 5.3) = (1 + 3.5v) + -29.8
(-26.5 + 5.3v) = (1 + 3.5v) + -29.8

Remove parenthesis around (1 + 3.5v)
-26.5 + 5.3v = 1 + 3.5v + -29.8

Reorder the terms:
-26.5 + 5.3v = 1 + -29.8 + 3.5v

Combine like terms: 1 + -29.8 = -28.8
-26.5 + 5.3v = -28.8 + 3.5v

Solving
-26.5 + 5.3v = -28.8 + 3.5v

Solving for variable 'v'.

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

Add '-3.5v' to each side of the equation.
-26.5 + 5.3v + -3.5v = -28.8 + 3.5v + -3.5v

Combine like terms: 5.3v + -3.5v = 1.8v
-26.5 + 1.8v = -28.8 + 3.5v + -3.5v

Combine like terms: 3.5v + -3.5v = 0.0
-26.5 + 1.8v = -28.8 + 0.0
-26.5 + 1.8v = -28.8

Add '26.5' to each side of the equation.
-26.5 + 26.5 + 1.8v = -28.8 + 26.5

Combine like terms: -26.5 + 26.5 = 0.0
0.0 + 1.8v = -28.8 + 26.5
1.8v = -28.8 + 26.5

Combine like terms: -28.8 + 26.5 = -2.3
1.8v = -2.3

Divide each side by '1.8'.
v = -1.277777778

Simplifying
v = -1.277777778