5(x-18.2)=-3(x-77)

Solution for 5(x-18.2)=-3(x-77) equation:

Simplifying
5(x + -18.2) = -3(x + -77)

Reorder the terms:
5(-18.2 + x) = -3(x + -77)
(-18.2 * 5 + x * 5) = -3(x + -77)
(-91 + 5x) = -3(x + -77)

Reorder the terms:
-91 + 5x = -3(-77 + x)
-91 + 5x = (-77 * -3 + x * -3)
-91 + 5x = (231 + -3x)

Solving
-91 + 5x = 231 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-91 + 5x + 3x = 231 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-91 + 8x = 231 + -3x + 3x

Combine like terms: -3x + 3x = 0
-91 + 8x = 231 + 0
-91 + 8x = 231

Add '91' to each side of the equation.
-91 + 91 + 8x = 231 + 91

Combine like terms: -91 + 91 = 0
0 + 8x = 231 + 91
8x = 231 + 91

Combine like terms: 231 + 91 = 322
8x = 322

Divide each side by '8'.
x = 40.25

Simplifying
x = 40.25