5(2x-0.5)+1.2=2(3.5n-1)

Solution for 5(2x-0.5)+1.2=2(3.5n-1) equation:

Simplifying
5(2x + -0.5) + 1.2 = 2(3.5n + -1)

Reorder the terms:
5(-0.5 + 2x) + 1.2 = 2(3.5n + -1)
(-0.5 * 5 + 2x * 5) + 1.2 = 2(3.5n + -1)
(-2.5 + 10x) + 1.2 = 2(3.5n + -1)

Reorder the terms:
-2.5 + 1.2 + 10x = 2(3.5n + -1)

Combine like terms: -2.5 + 1.2 = -1.3
-1.3 + 10x = 2(3.5n + -1)

Reorder the terms:
-1.3 + 10x = 2(-1 + 3.5n)
-1.3 + 10x = (-1 * 2 + 3.5n * 2)
-1.3 + 10x = (-2 + 7n)

Solving
-1.3 + 10x = -2 + 7n

Solving for variable 'x'.

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

Add '1.3' to each side of the equation.
-1.3 + 1.3 + 10x = -2 + 1.3 + 7n

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + 10x = -2 + 1.3 + 7n
10x = -2 + 1.3 + 7n

Combine like terms: -2 + 1.3 = -0.7
10x = -0.7 + 7n

Divide each side by '10'.
x = -0.07 + 0.7n

Simplifying
x = -0.07 + 0.7n