4(2x+3)+3(2x-3)=17

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Solution for 4(2x+3)+3(2x-3)=17 equation:


Simplifying
4(2x + 3) + 3(2x + -3) = 17

Reorder the terms:
4(3 + 2x) + 3(2x + -3) = 17
(3 * 4 + 2x * 4) + 3(2x + -3) = 17
(12 + 8x) + 3(2x + -3) = 17

Reorder the terms:
12 + 8x + 3(-3 + 2x) = 17
12 + 8x + (-3 * 3 + 2x * 3) = 17
12 + 8x + (-9 + 6x) = 17

Reorder the terms:
12 + -9 + 8x + 6x = 17

Combine like terms: 12 + -9 = 3
3 + 8x + 6x = 17

Combine like terms: 8x + 6x = 14x
3 + 14x = 17

Solving
3 + 14x = 17

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 14x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 17 + -3
14x = 17 + -3

Combine like terms: 17 + -3 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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