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

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


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

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

Combine like terms: 5x + 3x = 8x
2 + 8x = 2(x + 10)

Reorder the terms:
2 + 8x = 2(10 + x)
2 + 8x = (10 * 2 + x * 2)
2 + 8x = (20 + 2x)

Solving
2 + 8x = 20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 8x + -2x = 20 + 2x + -2x

Combine like terms: 8x + -2x = 6x
2 + 6x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 6x = 20 + 0
2 + 6x = 20

Add '-2' to each side of the equation.
2 + -2 + 6x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 20 + -2
6x = 20 + -2

Combine like terms: 20 + -2 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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