14.6=5+1.2(x-5)

Solution for 14.6=5+1.2(x-5) equation:

Simplifying
14.6 = 5 + 1.2(x + -5)

Reorder the terms:
14.6 = 5 + 1.2(-5 + x)
14.6 = 5 + (-5 * 1.2 + x * 1.2)
14.6 = 5 + (-6 + 1.2x)

Combine like terms: 5 + -6 = -1
14.6 = -1 + 1.2x

Solving
14.6 = -1 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
14.6 + -1.2x = -1 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
14.6 + -1.2x = -1 + 0.0
14.6 + -1.2x = -1

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -1.2x = -1 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -1.2x = -1 + -14.6
-1.2x = -1 + -14.6

Combine like terms: -1 + -14.6 = -15.6
-1.2x = -15.6

Divide each side by '-1.2'.
x = 13

Simplifying
x = 13