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

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


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

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

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

Reorder the terms:
5 + -3x = 4 + -2(-3 + c)
5 + -3x = 4 + (-3 * -2 + c * -2)
5 + -3x = 4 + (6 + -2c)

Combine like terms: 4 + 6 = 10
5 + -3x = 10 + -2c

Solving
5 + -3x = 10 + -2c

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 10 + -5 + -2c

Combine like terms: 5 + -5 = 0
0 + -3x = 10 + -5 + -2c
-3x = 10 + -5 + -2c

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

Divide each side by '-3'.
x = -1.666666667 + 0.6666666667c

Simplifying
x = -1.666666667 + 0.6666666667c

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