(4x-5)+(2x+20)=45

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Solution for (4x-5)+(2x+20)=45 equation:


Simplifying
(4x + -5) + (2x + 20) = 45

Reorder the terms:
(-5 + 4x) + (2x + 20) = 45

Remove parenthesis around (-5 + 4x)
-5 + 4x + (2x + 20) = 45

Reorder the terms:
-5 + 4x + (20 + 2x) = 45

Remove parenthesis around (20 + 2x)
-5 + 4x + 20 + 2x = 45

Reorder the terms:
-5 + 20 + 4x + 2x = 45

Combine like terms: -5 + 20 = 15
15 + 4x + 2x = 45

Combine like terms: 4x + 2x = 6x
15 + 6x = 45

Solving
15 + 6x = 45

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 6x = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 45 + -15
6x = 45 + -15

Combine like terms: 45 + -15 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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