3(c-3)+8x=5(2x+1)

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Solution for 3(c-3)+8x=5(2x+1) equation:


Simplifying
3(c + -3) + 8x = 5(2x + 1)

Reorder the terms:
3(-3 + c) + 8x = 5(2x + 1)
(-3 * 3 + c * 3) + 8x = 5(2x + 1)
(-9 + 3c) + 8x = 5(2x + 1)

Reorder the terms:
-9 + 3c + 8x = 5(1 + 2x)
-9 + 3c + 8x = (1 * 5 + 2x * 5)
-9 + 3c + 8x = (5 + 10x)

Solving
-9 + 3c + 8x = 5 + 10x

Solving for variable 'c'.

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

Add '9' to each side of the equation.
-9 + 3c + 9 + 8x = 5 + 9 + 10x

Reorder the terms:
-9 + 9 + 3c + 8x = 5 + 9 + 10x

Combine like terms: -9 + 9 = 0
0 + 3c + 8x = 5 + 9 + 10x
3c + 8x = 5 + 9 + 10x

Combine like terms: 5 + 9 = 14
3c + 8x = 14 + 10x

Add '-8x' to each side of the equation.
3c + 8x + -8x = 14 + 10x + -8x

Combine like terms: 8x + -8x = 0
3c + 0 = 14 + 10x + -8x
3c = 14 + 10x + -8x

Combine like terms: 10x + -8x = 2x
3c = 14 + 2x

Divide each side by '3'.
c = 4.666666667 + 0.6666666667x

Simplifying
c = 4.666666667 + 0.6666666667x

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