3(x+2)+5(x-1)=17

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Solution for 3(x+2)+5(x-1)=17 equation:


Simplifying
3(x + 2) + 5(x + -1) = 17

Reorder the terms:
3(2 + x) + 5(x + -1) = 17
(2 * 3 + x * 3) + 5(x + -1) = 17
(6 + 3x) + 5(x + -1) = 17

Reorder the terms:
6 + 3x + 5(-1 + x) = 17
6 + 3x + (-1 * 5 + x * 5) = 17
6 + 3x + (-5 + 5x) = 17

Reorder the terms:
6 + -5 + 3x + 5x = 17

Combine like terms: 6 + -5 = 1
1 + 3x + 5x = 17

Combine like terms: 3x + 5x = 8x
1 + 8x = 17

Solving
1 + 8x = 17

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 17 + -1
8x = 17 + -1

Combine like terms: 17 + -1 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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