18-(x-4)=9+(x-3)

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Solution for 18-(x-4)=9+(x-3) equation:


Simplifying
18 + -1(x + -4) = 9 + (x + -3)

Reorder the terms:
18 + -1(-4 + x) = 9 + (x + -3)
18 + (-4 * -1 + x * -1) = 9 + (x + -3)
18 + (4 + -1x) = 9 + (x + -3)

Combine like terms: 18 + 4 = 22
22 + -1x = 9 + (x + -3)

Reorder the terms:
22 + -1x = 9 + (-3 + x)

Remove parenthesis around (-3 + x)
22 + -1x = 9 + -3 + x

Combine like terms: 9 + -3 = 6
22 + -1x = 6 + x

Solving
22 + -1x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22 + -1x + -1x = 6 + x + -1x

Combine like terms: -1x + -1x = -2x
22 + -2x = 6 + x + -1x

Combine like terms: x + -1x = 0
22 + -2x = 6 + 0
22 + -2x = 6

Add '-22' to each side of the equation.
22 + -22 + -2x = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -2x = 6 + -22
-2x = 6 + -22

Combine like terms: 6 + -22 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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