1.5(c-1)=.5(4c)+1

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Solution for 1.5(c-1)=.5(4c)+1 equation:


Simplifying
1.5(c + -1) = 0.5(4c) + 1

Reorder the terms:
1.5(-1 + c) = 0.5(4c) + 1
(-1 * 1.5 + c * 1.5) = 0.5(4c) + 1
(-1.5 + 1.5c) = 0.5(4c) + 1

Remove parenthesis around (4c)
-1.5 + 1.5c = 0.5 * 4c + 1

Multiply 0.5 * 4
-1.5 + 1.5c = 2c + 1

Reorder the terms:
-1.5 + 1.5c = 1 + 2c

Solving
-1.5 + 1.5c = 1 + 2c

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.
-1.5 + 1.5c + -2c = 1 + 2c + -2c

Combine like terms: 1.5c + -2c = -0.5c
-1.5 + -0.5c = 1 + 2c + -2c

Combine like terms: 2c + -2c = 0
-1.5 + -0.5c = 1 + 0
-1.5 + -0.5c = 1

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -0.5c = 1 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -0.5c = 1 + 1.5
-0.5c = 1 + 1.5

Combine like terms: 1 + 1.5 = 2.5
-0.5c = 2.5

Divide each side by '-0.5'.
c = -5

Simplifying
c = -5

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