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

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


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

Reorder the terms:
3(1 + 3x) + -2(2x + -3) = 17
(1 * 3 + 3x * 3) + -2(2x + -3) = 17
(3 + 9x) + -2(2x + -3) = 17

Reorder the terms:
3 + 9x + -2(-3 + 2x) = 17
3 + 9x + (-3 * -2 + 2x * -2) = 17
3 + 9x + (6 + -4x) = 17

Reorder the terms:
3 + 6 + 9x + -4x = 17

Combine like terms: 3 + 6 = 9
9 + 9x + -4x = 17

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

Solving
9 + 5x = 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 + 5x = 17 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 17 + -9
5x = 17 + -9

Combine like terms: 17 + -9 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

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