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

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


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

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

Reorder the terms:
-8 + -9 + 4x = 2x + -9

Combine like terms: -8 + -9 = -17
-17 + 4x = 2x + -9

Reorder the terms:
-17 + 4x = -9 + 2x

Solving
-17 + 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.
-17 + 4x + -2x = -9 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-17 + 2x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-17 + 2x = -9 + 0
-17 + 2x = -9

Add '17' to each side of the equation.
-17 + 17 + 2x = -9 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = -9 + 17
2x = -9 + 17

Combine like terms: -9 + 17 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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