7=5+3cos(0.5x)

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Solution for 7=5+3cos(0.5x) equation:


Simplifying
7 = 5 + 3cos(0.5x)

Remove parenthesis around (0.5x)
7 = 5 + 3cos * 0.5x

Reorder the terms for easier multiplication:
7 = 5 + 3 * 0.5cos * x

Multiply 3 * 0.5
7 = 5 + 1.5cos * x

Multiply cos * x
7 = 5 + 1.5cosx

Solving
7 = 5 + 1.5cosx

Solving for variable 'c'.

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

Add '-1.5cosx' to each side of the equation.
7 + -1.5cosx = 5 + 1.5cosx + -1.5cosx

Combine like terms: 1.5cosx + -1.5cosx = 0.0
7 + -1.5cosx = 5 + 0.0
7 + -1.5cosx = 5

Add '-7' to each side of the equation.
7 + -7 + -1.5cosx = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -1.5cosx = 5 + -7
-1.5cosx = 5 + -7

Combine like terms: 5 + -7 = -2
-1.5cosx = -2

Divide each side by '-1.5osx'.
c = 1.333333333o-1s-1x-1

Simplifying
c = 1.333333333o-1s-1x-1

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