5x+2(5-x)=x+17

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Solution for 5x+2(5-x)=x+17 equation:


Simplifying
5x + 2(5 + -1x) = x + 17
5x + (5 * 2 + -1x * 2) = x + 17
5x + (10 + -2x) = x + 17

Reorder the terms:
10 + 5x + -2x = x + 17

Combine like terms: 5x + -2x = 3x
10 + 3x = x + 17

Reorder the terms:
10 + 3x = 17 + x

Solving
10 + 3x = 17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 3x + -1x = 17 + x + -1x

Combine like terms: 3x + -1x = 2x
10 + 2x = 17 + x + -1x

Combine like terms: x + -1x = 0
10 + 2x = 17 + 0
10 + 2x = 17

Add '-10' to each side of the equation.
10 + -10 + 2x = 17 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 17 + -10
2x = 17 + -10

Combine like terms: 17 + -10 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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