2(x+3)-5(8x-9)=17

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Solution for 2(x+3)-5(8x-9)=17 equation:


Simplifying
2(x + 3) + -5(8x + -9) = 17

Reorder the terms:
2(3 + x) + -5(8x + -9) = 17
(3 * 2 + x * 2) + -5(8x + -9) = 17
(6 + 2x) + -5(8x + -9) = 17

Reorder the terms:
6 + 2x + -5(-9 + 8x) = 17
6 + 2x + (-9 * -5 + 8x * -5) = 17
6 + 2x + (45 + -40x) = 17

Reorder the terms:
6 + 45 + 2x + -40x = 17

Combine like terms: 6 + 45 = 51
51 + 2x + -40x = 17

Combine like terms: 2x + -40x = -38x
51 + -38x = 17

Solving
51 + -38x = 17

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + -38x = 17 + -51

Combine like terms: 51 + -51 = 0
0 + -38x = 17 + -51
-38x = 17 + -51

Combine like terms: 17 + -51 = -34
-38x = -34

Divide each side by '-38'.
x = 0.8947368421

Simplifying
x = 0.8947368421

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