5(3-c)+3=.50(4c-2)+4

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Solution for 5(3-c)+3=.50(4c-2)+4 equation: 


Simplifying
5(3 + -1c) + 3 = 0.50(4c + -2) + 4
(3 * 5 + -1c * 5) + 3 = 0.50(4c + -2) + 4
(15 + -5c) + 3 = 0.50(4c + -2) + 4

Reorder the terms:
15 + 3 + -5c = 0.50(4c + -2) + 4

Combine like terms: 15 + 3 = 18
18 + -5c = 0.50(4c + -2) + 4

Reorder the terms:
18 + -5c = 0.50(-2 + 4c) + 4
18 + -5c = (-2 * 0.50 + 4c * 0.50) + 4
18 + -5c = (-1 + 2c) + 4

Reorder the terms:
18 + -5c = -1 + 4 + 2c

Combine like terms: -1 + 4 = 3
18 + -5c = 3 + 2c

Solving
18 + -5c = 3 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
18 + -5c + -2c = 3 + 2c + -2c

Combine like terms: -5c + -2c = -7c
18 + -7c = 3 + 2c + -2c

Combine like terms: 2c + -2c = 0
18 + -7c = 3 + 0
18 + -7c = 3

Add '-18' to each side of the equation.
18 + -18 + -7c = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -7c = 3 + -18
-7c = 3 + -18

Combine like terms: 3 + -18 = -15
-7c = -15

Divide each side by '-7'.
c = 2.142857143

Simplifying
c = 2.142857143

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