4c+5(7x-3)=9(x-5)

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Solution for 4c+5(7x-3)=9(x-5) equation:


Simplifying
4c + 5(7x + -3) = 9(x + -5)

Reorder the terms:
4c + 5(-3 + 7x) = 9(x + -5)
4c + (-3 * 5 + 7x * 5) = 9(x + -5)
4c + (-15 + 35x) = 9(x + -5)

Reorder the terms:
-15 + 4c + 35x = 9(x + -5)

Reorder the terms:
-15 + 4c + 35x = 9(-5 + x)
-15 + 4c + 35x = (-5 * 9 + x * 9)
-15 + 4c + 35x = (-45 + 9x)

Solving
-15 + 4c + 35x = -45 + 9x

Solving for variable 'c'.

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

Add '15' to each side of the equation.
-15 + 4c + 15 + 35x = -45 + 15 + 9x

Reorder the terms:
-15 + 15 + 4c + 35x = -45 + 15 + 9x

Combine like terms: -15 + 15 = 0
0 + 4c + 35x = -45 + 15 + 9x
4c + 35x = -45 + 15 + 9x

Combine like terms: -45 + 15 = -30
4c + 35x = -30 + 9x

Add '-35x' to each side of the equation.
4c + 35x + -35x = -30 + 9x + -35x

Combine like terms: 35x + -35x = 0
4c + 0 = -30 + 9x + -35x
4c = -30 + 9x + -35x

Combine like terms: 9x + -35x = -26x
4c = -30 + -26x

Divide each side by '4'.
c = -7.5 + -6.5x

Simplifying
c = -7.5 + -6.5x

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