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

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


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

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

Reorder the terms:
5 + 5x + -2(-2 + x) = 17
5 + 5x + (-2 * -2 + x * -2) = 17
5 + 5x + (4 + -2x) = 17

Reorder the terms:
5 + 4 + 5x + -2x = 17

Combine like terms: 5 + 4 = 9
9 + 5x + -2x = 17

Combine like terms: 5x + -2x = 3x
9 + 3x = 17

Solving
9 + 3x = 17

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 17 + -9
3x = 17 + -9

Combine like terms: 17 + -9 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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