4(3x-5)=5x+(x+15)

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Solution for 4(3x-5)=5x+(x+15) equation:


Simplifying
4(3x + -5) = 5x + (x + 15)

Reorder the terms:
4(-5 + 3x) = 5x + (x + 15)
(-5 * 4 + 3x * 4) = 5x + (x + 15)
(-20 + 12x) = 5x + (x + 15)

Reorder the terms:
-20 + 12x = 5x + (15 + x)

Remove parenthesis around (15 + x)
-20 + 12x = 5x + 15 + x

Reorder the terms:
-20 + 12x = 15 + 5x + x

Combine like terms: 5x + x = 6x
-20 + 12x = 15 + 6x

Solving
-20 + 12x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 12x + -6x = 15 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-20 + 6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 6x = 15 + 0
-20 + 6x = 15

Add '20' to each side of the equation.
-20 + 20 + 6x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 15 + 20
6x = 15 + 20

Combine like terms: 15 + 20 = 35
6x = 35

Divide each side by '6'.
x = 5.833333333

Simplifying
x = 5.833333333

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