4(2c-5)=7(3c-1)

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Solution for 4(2c-5)=7(3c-1) equation:


Simplifying
4(2c + -5) = 7(3c + -1)

Reorder the terms:
4(-5 + 2c) = 7(3c + -1)
(-5 * 4 + 2c * 4) = 7(3c + -1)
(-20 + 8c) = 7(3c + -1)

Reorder the terms:
-20 + 8c = 7(-1 + 3c)
-20 + 8c = (-1 * 7 + 3c * 7)
-20 + 8c = (-7 + 21c)

Solving
-20 + 8c = -7 + 21c

Solving for variable 'c'.

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

Add '-21c' to each side of the equation.
-20 + 8c + -21c = -7 + 21c + -21c

Combine like terms: 8c + -21c = -13c
-20 + -13c = -7 + 21c + -21c

Combine like terms: 21c + -21c = 0
-20 + -13c = -7 + 0
-20 + -13c = -7

Add '20' to each side of the equation.
-20 + 20 + -13c = -7 + 20

Combine like terms: -20 + 20 = 0
0 + -13c = -7 + 20
-13c = -7 + 20

Combine like terms: -7 + 20 = 13
-13c = 13

Divide each side by '-13'.
c = -1

Simplifying
c = -1

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