2(3c+8)+4(6x+1)=43

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Solution for 2(3c+8)+4(6x+1)=43 equation:


Simplifying
2(3c + 8) + 4(6x + 1) = 43

Reorder the terms:
2(8 + 3c) + 4(6x + 1) = 43
(8 * 2 + 3c * 2) + 4(6x + 1) = 43
(16 + 6c) + 4(6x + 1) = 43

Reorder the terms:
16 + 6c + 4(1 + 6x) = 43
16 + 6c + (1 * 4 + 6x * 4) = 43
16 + 6c + (4 + 24x) = 43

Reorder the terms:
16 + 4 + 6c + 24x = 43

Combine like terms: 16 + 4 = 20
20 + 6c + 24x = 43

Solving
20 + 6c + 24x = 43

Solving for variable 'c'.

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

Add '-20' to each side of the equation.
20 + 6c + -20 + 24x = 43 + -20

Reorder the terms:
20 + -20 + 6c + 24x = 43 + -20

Combine like terms: 20 + -20 = 0
0 + 6c + 24x = 43 + -20
6c + 24x = 43 + -20

Combine like terms: 43 + -20 = 23
6c + 24x = 23

Add '-24x' to each side of the equation.
6c + 24x + -24x = 23 + -24x

Combine like terms: 24x + -24x = 0
6c + 0 = 23 + -24x
6c = 23 + -24x

Divide each side by '6'.
c = 3.833333333 + -4x

Simplifying
c = 3.833333333 + -4x

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