30-(3c+4)=2(c+4)

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Solution for 30-(3c+4)=2(c+4) equation:


Simplifying
30 + -1(3c + 4) = 2(c + 4)

Reorder the terms:
30 + -1(4 + 3c) = 2(c + 4)
30 + (4 * -1 + 3c * -1) = 2(c + 4)
30 + (-4 + -3c) = 2(c + 4)

Combine like terms: 30 + -4 = 26
26 + -3c = 2(c + 4)

Reorder the terms:
26 + -3c = 2(4 + c)
26 + -3c = (4 * 2 + c * 2)
26 + -3c = (8 + 2c)

Solving
26 + -3c = 8 + 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.
26 + -3c + -2c = 8 + 2c + -2c

Combine like terms: -3c + -2c = -5c
26 + -5c = 8 + 2c + -2c

Combine like terms: 2c + -2c = 0
26 + -5c = 8 + 0
26 + -5c = 8

Add '-26' to each side of the equation.
26 + -26 + -5c = 8 + -26

Combine like terms: 26 + -26 = 0
0 + -5c = 8 + -26
-5c = 8 + -26

Combine like terms: 8 + -26 = -18
-5c = -18

Divide each side by '-5'.
c = 3.6

Simplifying
c = 3.6

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