10(6c-1)-8=58c+10

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Solution for 10(6c-1)-8=58c+10 equation:


Simplifying
10(6c + -1) + -8 = 58c + 10

Reorder the terms:
10(-1 + 6c) + -8 = 58c + 10
(-1 * 10 + 6c * 10) + -8 = 58c + 10
(-10 + 60c) + -8 = 58c + 10

Reorder the terms:
-10 + -8 + 60c = 58c + 10

Combine like terms: -10 + -8 = -18
-18 + 60c = 58c + 10

Reorder the terms:
-18 + 60c = 10 + 58c

Solving
-18 + 60c = 10 + 58c

Solving for variable 'c'.

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

Add '-58c' to each side of the equation.
-18 + 60c + -58c = 10 + 58c + -58c

Combine like terms: 60c + -58c = 2c
-18 + 2c = 10 + 58c + -58c

Combine like terms: 58c + -58c = 0
-18 + 2c = 10 + 0
-18 + 2c = 10

Add '18' to each side of the equation.
-18 + 18 + 2c = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 2c = 10 + 18
2c = 10 + 18

Combine like terms: 10 + 18 = 28
2c = 28

Divide each side by '2'.
c = 14

Simplifying
c = 14

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