2(3c-9)=8c+10

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Solution for 2(3c-9)=8c+10 equation:


Simplifying
2(3c + -9) = 8c + 10

Reorder the terms:
2(-9 + 3c) = 8c + 10
(-9 * 2 + 3c * 2) = 8c + 10
(-18 + 6c) = 8c + 10

Reorder the terms:
-18 + 6c = 10 + 8c

Solving
-18 + 6c = 10 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-18 + 6c + -8c = 10 + 8c + -8c

Combine like terms: 6c + -8c = -2c
-18 + -2c = 10 + 8c + -8c

Combine like terms: 8c + -8c = 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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