9+3(x-4)=11-3(x-4)

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Solution for 9+3(x-4)=11-3(x-4) equation:


Simplifying
9 + 3(x + -4) = 11 + -3(x + -4)

Reorder the terms:
9 + 3(-4 + x) = 11 + -3(x + -4)
9 + (-4 * 3 + x * 3) = 11 + -3(x + -4)
9 + (-12 + 3x) = 11 + -3(x + -4)

Combine like terms: 9 + -12 = -3
-3 + 3x = 11 + -3(x + -4)

Reorder the terms:
-3 + 3x = 11 + -3(-4 + x)
-3 + 3x = 11 + (-4 * -3 + x * -3)
-3 + 3x = 11 + (12 + -3x)

Combine like terms: 11 + 12 = 23
-3 + 3x = 23 + -3x

Solving
-3 + 3x = 23 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-3 + 3x + 3x = 23 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-3 + 6x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 6x = 23 + 0
-3 + 6x = 23

Add '3' to each side of the equation.
-3 + 3 + 6x = 23 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 23 + 3
6x = 23 + 3

Combine like terms: 23 + 3 = 26
6x = 26

Divide each side by '6'.
x = 4.333333333

Simplifying
x = 4.333333333

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