15=3(x-1)+2(4-c)

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Solution for 15=3(x-1)+2(4-c) equation: 


Simplifying
15 = 3(x + -1) + 2(4 + -1c)

Reorder the terms:
15 = 3(-1 + x) + 2(4 + -1c)
15 = (-1 * 3 + x * 3) + 2(4 + -1c)
15 = (-3 + 3x) + 2(4 + -1c)
15 = -3 + 3x + (4 * 2 + -1c * 2)
15 = -3 + 3x + (8 + -2c)

Reorder the terms:
15 = -3 + 8 + -2c + 3x

Combine like terms: -3 + 8 = 5
15 = 5 + -2c + 3x

Solving
15 = 5 + -2c + 3x

Solving for variable 'c'.

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

Add '2c' to each side of the equation.
15 + 2c = 5 + -2c + 2c + 3x

Combine like terms: -2c + 2c = 0
15 + 2c = 5 + 0 + 3x
15 + 2c = 5 + 3x

Add '-15' to each side of the equation.
15 + -15 + 2c = 5 + -15 + 3x

Combine like terms: 15 + -15 = 0
0 + 2c = 5 + -15 + 3x
2c = 5 + -15 + 3x

Combine like terms: 5 + -15 = -10
2c = -10 + 3x

Divide each side by '2'.
c = -5 + 1.5x

Simplifying
c = -5 + 1.5x

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