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

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


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

Reorder the terms:
9 + 2(-8 + x) = 2 + -4(x + -9)
9 + (-8 * 2 + x * 2) = 2 + -4(x + -9)
9 + (-16 + 2x) = 2 + -4(x + -9)

Combine like terms: 9 + -16 = -7
-7 + 2x = 2 + -4(x + -9)

Reorder the terms:
-7 + 2x = 2 + -4(-9 + x)
-7 + 2x = 2 + (-9 * -4 + x * -4)
-7 + 2x = 2 + (36 + -4x)

Combine like terms: 2 + 36 = 38
-7 + 2x = 38 + -4x

Solving
-7 + 2x = 38 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-7 + 2x + 4x = 38 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-7 + 6x = 38 + -4x + 4x

Combine like terms: -4x + 4x = 0
-7 + 6x = 38 + 0
-7 + 6x = 38

Add '7' to each side of the equation.
-7 + 7 + 6x = 38 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 38 + 7
6x = 38 + 7

Combine like terms: 38 + 7 = 45
6x = 45

Divide each side by '6'.
x = 7.5

Simplifying
x = 7.5

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