3(2x-5)=(5x-4)+5

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Solution for 3(2x-5)=(5x-4)+5 equation:


Simplifying
3(2x + -5) = (5x + -4) + 5

Reorder the terms:
3(-5 + 2x) = (5x + -4) + 5
(-5 * 3 + 2x * 3) = (5x + -4) + 5
(-15 + 6x) = (5x + -4) + 5

Reorder the terms:
-15 + 6x = (-4 + 5x) + 5

Remove parenthesis around (-4 + 5x)
-15 + 6x = -4 + 5x + 5

Reorder the terms:
-15 + 6x = -4 + 5 + 5x

Combine like terms: -4 + 5 = 1
-15 + 6x = 1 + 5x

Solving
-15 + 6x = 1 + 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.
-15 + 6x + -5x = 1 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-15 + 1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 1x = 1 + 0
-15 + 1x = 1

Add '15' to each side of the equation.
-15 + 15 + 1x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 1 + 15
1x = 1 + 15

Combine like terms: 1 + 15 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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