5(x+3)-3x-10=17

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Solution for 5(x+3)-3x-10=17 equation:


Simplifying
5(x + 3) + -3x + -10 = 17

Reorder the terms:
5(3 + x) + -3x + -10 = 17
(3 * 5 + x * 5) + -3x + -10 = 17
(15 + 5x) + -3x + -10 = 17

Reorder the terms:
15 + -10 + 5x + -3x = 17

Combine like terms: 15 + -10 = 5
5 + 5x + -3x = 17

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

Solving
5 + 2x = 17

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 17 + -5
2x = 17 + -5

Combine like terms: 17 + -5 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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