8+4(x-9)=9-6(x-8)

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Solution for 8+4(x-9)=9-6(x-8) equation:


Simplifying
8 + 4(x + -9) = 9 + -6(x + -8)

Reorder the terms:
8 + 4(-9 + x) = 9 + -6(x + -8)
8 + (-9 * 4 + x * 4) = 9 + -6(x + -8)
8 + (-36 + 4x) = 9 + -6(x + -8)

Combine like terms: 8 + -36 = -28
-28 + 4x = 9 + -6(x + -8)

Reorder the terms:
-28 + 4x = 9 + -6(-8 + x)
-28 + 4x = 9 + (-8 * -6 + x * -6)
-28 + 4x = 9 + (48 + -6x)

Combine like terms: 9 + 48 = 57
-28 + 4x = 57 + -6x

Solving
-28 + 4x = 57 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-28 + 4x + 6x = 57 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-28 + 10x = 57 + -6x + 6x

Combine like terms: -6x + 6x = 0
-28 + 10x = 57 + 0
-28 + 10x = 57

Add '28' to each side of the equation.
-28 + 28 + 10x = 57 + 28

Combine like terms: -28 + 28 = 0
0 + 10x = 57 + 28
10x = 57 + 28

Combine like terms: 57 + 28 = 85
10x = 85

Divide each side by '10'.
x = 8.5

Simplifying
x = 8.5

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