3(x-3)-4(5-2x)=9

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Solution for 3(x-3)-4(5-2x)=9 equation:


Simplifying
3(x + -3) + -4(5 + -2x) = 9

Reorder the terms:
3(-3 + x) + -4(5 + -2x) = 9
(-3 * 3 + x * 3) + -4(5 + -2x) = 9
(-9 + 3x) + -4(5 + -2x) = 9
-9 + 3x + (5 * -4 + -2x * -4) = 9
-9 + 3x + (-20 + 8x) = 9

Reorder the terms:
-9 + -20 + 3x + 8x = 9

Combine like terms: -9 + -20 = -29
-29 + 3x + 8x = 9

Combine like terms: 3x + 8x = 11x
-29 + 11x = 9

Solving
-29 + 11x = 9

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 11x = 9 + 29

Combine like terms: -29 + 29 = 0
0 + 11x = 9 + 29
11x = 9 + 29

Combine like terms: 9 + 29 = 38
11x = 38

Divide each side by '11'.
x = 3.454545455

Simplifying
x = 3.454545455

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