4(x-2)-9=6-(x+3)

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Solution for 4(x-2)-9=6-(x+3) equation:


Simplifying
4(x + -2) + -9 = 6 + -1(x + 3)

Reorder the terms:
4(-2 + x) + -9 = 6 + -1(x + 3)
(-2 * 4 + x * 4) + -9 = 6 + -1(x + 3)
(-8 + 4x) + -9 = 6 + -1(x + 3)

Reorder the terms:
-8 + -9 + 4x = 6 + -1(x + 3)

Combine like terms: -8 + -9 = -17
-17 + 4x = 6 + -1(x + 3)

Reorder the terms:
-17 + 4x = 6 + -1(3 + x)
-17 + 4x = 6 + (3 * -1 + x * -1)
-17 + 4x = 6 + (-3 + -1x)

Combine like terms: 6 + -3 = 3
-17 + 4x = 3 + -1x

Solving
-17 + 4x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-17 + 4x + x = 3 + -1x + x

Combine like terms: 4x + x = 5x
-17 + 5x = 3 + -1x + x

Combine like terms: -1x + x = 0
-17 + 5x = 3 + 0
-17 + 5x = 3

Add '17' to each side of the equation.
-17 + 17 + 5x = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 3 + 17
5x = 3 + 17

Combine like terms: 3 + 17 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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