4+3(x-2)=8-9(x-2)

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Solution for 4+3(x-2)=8-9(x-2) equation:


Simplifying
4 + 3(x + -2) = 8 + -9(x + -2)

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

Combine like terms: 4 + -6 = -2
-2 + 3x = 8 + -9(x + -2)

Reorder the terms:
-2 + 3x = 8 + -9(-2 + x)
-2 + 3x = 8 + (-2 * -9 + x * -9)
-2 + 3x = 8 + (18 + -9x)

Combine like terms: 8 + 18 = 26
-2 + 3x = 26 + -9x

Solving
-2 + 3x = 26 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-2 + 3x + 9x = 26 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-2 + 12x = 26 + -9x + 9x

Combine like terms: -9x + 9x = 0
-2 + 12x = 26 + 0
-2 + 12x = 26

Add '2' to each side of the equation.
-2 + 2 + 12x = 26 + 2

Combine like terms: -2 + 2 = 0
0 + 12x = 26 + 2
12x = 26 + 2

Combine like terms: 26 + 2 = 28
12x = 28

Divide each side by '12'.
x = 2.333333333

Simplifying
x = 2.333333333

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