2x+13x+5=3(x+10)

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Solution for 2x+13x+5=3(x+10) equation:


Simplifying
2x + 13x + 5 = 3(x + 10)

Reorder the terms:
5 + 2x + 13x = 3(x + 10)

Combine like terms: 2x + 13x = 15x
5 + 15x = 3(x + 10)

Reorder the terms:
5 + 15x = 3(10 + x)
5 + 15x = (10 * 3 + x * 3)
5 + 15x = (30 + 3x)

Solving
5 + 15x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 15x + -3x = 30 + 3x + -3x

Combine like terms: 15x + -3x = 12x
5 + 12x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 12x = 30 + 0
5 + 12x = 30

Add '-5' to each side of the equation.
5 + -5 + 12x = 30 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = 30 + -5
12x = 30 + -5

Combine like terms: 30 + -5 = 25
12x = 25

Divide each side by '12'.
x = 2.083333333

Simplifying
x = 2.083333333

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