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

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


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

Reorder the terms:
4(-3 + x) + 5(2 + -3x) = 9
(-3 * 4 + x * 4) + 5(2 + -3x) = 9
(-12 + 4x) + 5(2 + -3x) = 9
-12 + 4x + (2 * 5 + -3x * 5) = 9
-12 + 4x + (10 + -15x) = 9

Reorder the terms:
-12 + 10 + 4x + -15x = 9

Combine like terms: -12 + 10 = -2
-2 + 4x + -15x = 9

Combine like terms: 4x + -15x = -11x
-2 + -11x = 9

Solving
-2 + -11x = 9

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -11x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + -11x = 9 + 2
-11x = 9 + 2

Combine like terms: 9 + 2 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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