2(3x+5x)+17=13x+20

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Solution for 2(3x+5x)+17=13x+20 equation:


Simplifying
2(3x + 5x) + 17 = 13x + 20

Combine like terms: 3x + 5x = 8x
2(8x) + 17 = 13x + 20

Remove parenthesis around (8x)
2 * 8x + 17 = 13x + 20

Multiply 2 * 8
16x + 17 = 13x + 20

Reorder the terms:
17 + 16x = 13x + 20

Reorder the terms:
17 + 16x = 20 + 13x

Solving
17 + 16x = 20 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
17 + 16x + -13x = 20 + 13x + -13x

Combine like terms: 16x + -13x = 3x
17 + 3x = 20 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + 3x = 20 + 0
17 + 3x = 20

Add '-17' to each side of the equation.
17 + -17 + 3x = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 20 + -17
3x = 20 + -17

Combine like terms: 20 + -17 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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