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

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


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

Reorder the terms:
4(-3 + x) + -1(2x + -3) = 9
(-3 * 4 + x * 4) + -1(2x + -3) = 9
(-12 + 4x) + -1(2x + -3) = 9

Reorder the terms:
-12 + 4x + -1(-3 + 2x) = 9
-12 + 4x + (-3 * -1 + 2x * -1) = 9
-12 + 4x + (3 + -2x) = 9

Reorder the terms:
-12 + 3 + 4x + -2x = 9

Combine like terms: -12 + 3 = -9
-9 + 4x + -2x = 9

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

Solving
-9 + 2x = 9

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 + 2x = 9 + 9

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

Combine like terms: 9 + 9 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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