3x+4*5x+1*2x+5=x+13*2x

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Solution for 3x+4*5x+1*2x+5=x+13*2x equation:


Simplifying
3x + 4 * 5x + 1 * 2x + 5 = x + 13 * 2x

Multiply 4 * 5
3x + 20x + 1 * 2x + 5 = x + 13 * 2x

Multiply 1 * 2
3x + 20x + 2x + 5 = x + 13 * 2x

Reorder the terms:
5 + 3x + 20x + 2x = x + 13 * 2x

Combine like terms: 3x + 20x = 23x
5 + 23x + 2x = x + 13 * 2x

Combine like terms: 23x + 2x = 25x
5 + 25x = x + 13 * 2x

Multiply 13 * 2
5 + 25x = x + 26x

Combine like terms: x + 26x = 27x
5 + 25x = 27x

Solving
5 + 25x = 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
5 + 25x + -27x = 27x + -27x

Combine like terms: 25x + -27x = -2x
5 + -2x = 27x + -27x

Combine like terms: 27x + -27x = 0
5 + -2x = 0

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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