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

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


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

Reorder the terms:
-9 + 4x = 5 + -2(x + -2)

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

Combine like terms: 5 + 4 = 9
-9 + 4x = 9 + -2x

Solving
-9 + 4x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 4x + 2x = 9 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-9 + 6x = 9 + 0
-9 + 6x = 9

Add '9' to each side of the equation.
-9 + 9 + 6x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 9 + 9
6x = 9 + 9

Combine like terms: 9 + 9 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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