(x*3)+11.40=(x-4)*5

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Solution for (x*3)+11.40=(x-4)*5 equation: 


Simplifying
(x * 3) + 11.40 = (x + -4) * 5

Reorder the terms for easier multiplication:
(3x) + 11.40 = (x + -4) * 5

Reorder the terms:
11.40 + (3x) = (x + -4) * 5

Reorder the terms:
11.40 + (3x) = (-4 + x) * 5

Reorder the terms for easier multiplication:
11.40 + (3x) = 5(-4 + x)
11.40 + (3x) = (-4 * 5 + x * 5)
11.40 + (3x) = (-20 + 5x)

Solving
11.40 + (3x) = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
11.40 + (3x) + -5x = -20 + 5x + -5x

Combine like terms: (3x) + -5x = -2x
11.40 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
11.40 + -2x = -20 + 0
11.40 + -2x = -20

Add '-11.40' to each side of the equation.
11.40 + -11.40 + -2x = -20 + -11.40

Combine like terms: 11.40 + -11.40 = 0.00
0.00 + -2x = -20 + -11.40
-2x = -20 + -11.40

Combine like terms: -20 + -11.40 = -31.4
-2x = -31.4

Divide each side by '-2'.
x = 15.7

Simplifying
x = 15.7

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