3(5c-1)-4=10c+8

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Solution for 3(5c-1)-4=10c+8 equation:


Simplifying
3(5c + -1) + -4 = 10c + 8

Reorder the terms:
3(-1 + 5c) + -4 = 10c + 8
(-1 * 3 + 5c * 3) + -4 = 10c + 8
(-3 + 15c) + -4 = 10c + 8

Reorder the terms:
-3 + -4 + 15c = 10c + 8

Combine like terms: -3 + -4 = -7
-7 + 15c = 10c + 8

Reorder the terms:
-7 + 15c = 8 + 10c

Solving
-7 + 15c = 8 + 10c

Solving for variable 'c'.

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

Add '-10c' to each side of the equation.
-7 + 15c + -10c = 8 + 10c + -10c

Combine like terms: 15c + -10c = 5c
-7 + 5c = 8 + 10c + -10c

Combine like terms: 10c + -10c = 0
-7 + 5c = 8 + 0
-7 + 5c = 8

Add '7' to each side of the equation.
-7 + 7 + 5c = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5c = 8 + 7
5c = 8 + 7

Combine like terms: 8 + 7 = 15
5c = 15

Divide each side by '5'.
c = 3

Simplifying
c = 3

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