13x-5=4x+40

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Solution for 13x-5=4x+40 equation:


Simplifying
13x + -5 = 4x + 40

Reorder the terms:
-5 + 13x = 4x + 40

Reorder the terms:
-5 + 13x = 40 + 4x

Solving
-5 + 13x = 40 + 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.
-5 + 13x + -4x = 40 + 4x + -4x

Combine like terms: 13x + -4x = 9x
-5 + 9x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 9x = 40 + 0
-5 + 9x = 40

Add '5' to each side of the equation.
-5 + 5 + 9x = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 40 + 5
9x = 40 + 5

Combine like terms: 40 + 5 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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