3(5b)-7=13-(8-c)

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Solution for 3(5b)-7=13-(8-c) equation:


Simplifying
3(5b) + -7 = 13 + -1(8 + -1c)

Remove parenthesis around (5b)
3 * 5b + -7 = 13 + -1(8 + -1c)

Multiply 3 * 5
15b + -7 = 13 + -1(8 + -1c)

Reorder the terms:
-7 + 15b = 13 + -1(8 + -1c)
-7 + 15b = 13 + (8 * -1 + -1c * -1)
-7 + 15b = 13 + (-8 + 1c)

Combine like terms: 13 + -8 = 5
-7 + 15b = 5 + 1c

Solving
-7 + 15b = 5 + 1c

Solving for variable 'b'.

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

Add '7' to each side of the equation.
-7 + 7 + 15b = 5 + 7 + 1c

Combine like terms: -7 + 7 = 0
0 + 15b = 5 + 7 + 1c
15b = 5 + 7 + 1c

Combine like terms: 5 + 7 = 12
15b = 12 + 1c

Divide each side by '15'.
b = 0.8 + 0.06666666667c

Simplifying
b = 0.8 + 0.06666666667c

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