3(2-x)-4(x-3)=9

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Solution for 3(2-x)-4(x-3)=9 equation:


Simplifying
3(2 + -1x) + -4(x + -3) = 9
(2 * 3 + -1x * 3) + -4(x + -3) = 9
(6 + -3x) + -4(x + -3) = 9

Reorder the terms:
6 + -3x + -4(-3 + x) = 9
6 + -3x + (-3 * -4 + x * -4) = 9
6 + -3x + (12 + -4x) = 9

Reorder the terms:
6 + 12 + -3x + -4x = 9

Combine like terms: 6 + 12 = 18
18 + -3x + -4x = 9

Combine like terms: -3x + -4x = -7x
18 + -7x = 9

Solving
18 + -7x = 9

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -7x = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 9 + -18
-7x = 9 + -18

Combine like terms: 9 + -18 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

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