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

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


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

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

Reorder the terms:
-8 + 4x + -3(-2 + x) = 9
-8 + 4x + (-2 * -3 + x * -3) = 9
-8 + 4x + (6 + -3x) = 9

Reorder the terms:
-8 + 6 + 4x + -3x = 9

Combine like terms: -8 + 6 = -2
-2 + 4x + -3x = 9

Combine like terms: 4x + -3x = 1x
-2 + 1x = 9

Solving
-2 + 1x = 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 + 1x = 9 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 9 + 2
1x = 9 + 2

Combine like terms: 9 + 2 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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