5(2c-3)=5(c-4)-25

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Solution for 5(2c-3)=5(c-4)-25 equation:


Simplifying
5(2c + -3) = 5(c + -4) + -25

Reorder the terms:
5(-3 + 2c) = 5(c + -4) + -25
(-3 * 5 + 2c * 5) = 5(c + -4) + -25
(-15 + 10c) = 5(c + -4) + -25

Reorder the terms:
-15 + 10c = 5(-4 + c) + -25
-15 + 10c = (-4 * 5 + c * 5) + -25
-15 + 10c = (-20 + 5c) + -25

Reorder the terms:
-15 + 10c = -20 + -25 + 5c

Combine like terms: -20 + -25 = -45
-15 + 10c = -45 + 5c

Solving
-15 + 10c = -45 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-15 + 10c + -5c = -45 + 5c + -5c

Combine like terms: 10c + -5c = 5c
-15 + 5c = -45 + 5c + -5c

Combine like terms: 5c + -5c = 0
-15 + 5c = -45 + 0
-15 + 5c = -45

Add '15' to each side of the equation.
-15 + 15 + 5c = -45 + 15

Combine like terms: -15 + 15 = 0
0 + 5c = -45 + 15
5c = -45 + 15

Combine like terms: -45 + 15 = -30
5c = -30

Divide each side by '5'.
c = -6

Simplifying
c = -6

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