5(x-1)-3(c-4)=11

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Solution for 5(x-1)-3(c-4)=11 equation:


Simplifying
5(x + -1) + -3(c + -4) = 11

Reorder the terms:
5(-1 + x) + -3(c + -4) = 11
(-1 * 5 + x * 5) + -3(c + -4) = 11
(-5 + 5x) + -3(c + -4) = 11

Reorder the terms:
-5 + 5x + -3(-4 + c) = 11
-5 + 5x + (-4 * -3 + c * -3) = 11
-5 + 5x + (12 + -3c) = 11

Reorder the terms:
-5 + 12 + -3c + 5x = 11

Combine like terms: -5 + 12 = 7
7 + -3c + 5x = 11

Solving
7 + -3c + 5x = 11

Solving for variable 'c'.

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

Add '-7' to each side of the equation.
7 + -3c + -7 + 5x = 11 + -7

Reorder the terms:
7 + -7 + -3c + 5x = 11 + -7

Combine like terms: 7 + -7 = 0
0 + -3c + 5x = 11 + -7
-3c + 5x = 11 + -7

Combine like terms: 11 + -7 = 4
-3c + 5x = 4

Add '-5x' to each side of the equation.
-3c + 5x + -5x = 4 + -5x

Combine like terms: 5x + -5x = 0
-3c + 0 = 4 + -5x
-3c = 4 + -5x

Divide each side by '-3'.
c = -1.333333333 + 1.666666667x

Simplifying
c = -1.333333333 + 1.666666667x

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