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

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


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

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

Remove parenthesis around (-5 + 3x)
-5 + 3x + 5 = 4(x + 5)

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

Combine like terms: -5 + 5 = 0
0 + 3x = 4(x + 5)
3x = 4(x + 5)

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

Solving
3x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3x + -4x = 20 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1x = 20 + 0
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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