3(4c-5)-2(2x-2)=4(3x-2)+5

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Solution for 3(4c-5)-2(2x-2)=4(3x-2)+5 equation: 


Simplifying
3(4c + -5) + -2(2x + -2) = 4(3x + -2) + 5

Reorder the terms:
3(-5 + 4c) + -2(2x + -2) = 4(3x + -2) + 5
(-5 * 3 + 4c * 3) + -2(2x + -2) = 4(3x + -2) + 5
(-15 + 12c) + -2(2x + -2) = 4(3x + -2) + 5

Reorder the terms:
-15 + 12c + -2(-2 + 2x) = 4(3x + -2) + 5
-15 + 12c + (-2 * -2 + 2x * -2) = 4(3x + -2) + 5
-15 + 12c + (4 + -4x) = 4(3x + -2) + 5

Reorder the terms:
-15 + 4 + 12c + -4x = 4(3x + -2) + 5

Combine like terms: -15 + 4 = -11
-11 + 12c + -4x = 4(3x + -2) + 5

Reorder the terms:
-11 + 12c + -4x = 4(-2 + 3x) + 5
-11 + 12c + -4x = (-2 * 4 + 3x * 4) + 5
-11 + 12c + -4x = (-8 + 12x) + 5

Reorder the terms:
-11 + 12c + -4x = -8 + 5 + 12x

Combine like terms: -8 + 5 = -3
-11 + 12c + -4x = -3 + 12x

Solving
-11 + 12c + -4x = -3 + 12x

Solving for variable 'c'.

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

Add '11' to each side of the equation.
-11 + 12c + 11 + -4x = -3 + 11 + 12x

Reorder the terms:
-11 + 11 + 12c + -4x = -3 + 11 + 12x

Combine like terms: -11 + 11 = 0
0 + 12c + -4x = -3 + 11 + 12x
12c + -4x = -3 + 11 + 12x

Combine like terms: -3 + 11 = 8
12c + -4x = 8 + 12x

Add '4x' to each side of the equation.
12c + -4x + 4x = 8 + 12x + 4x

Combine like terms: -4x + 4x = 0
12c + 0 = 8 + 12x + 4x
12c = 8 + 12x + 4x

Combine like terms: 12x + 4x = 16x
12c = 8 + 16x

Divide each side by '12'.
c = 0.6666666667 + 1.333333333x

Simplifying
c = 0.6666666667 + 1.333333333x

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