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

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


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

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

Combine like terms: 9 + -36 = -27
-27 + 4x = 8 + -6(x + -8)

Reorder the terms:
-27 + 4x = 8 + -6(-8 + x)
-27 + 4x = 8 + (-8 * -6 + x * -6)
-27 + 4x = 8 + (48 + -6x)

Combine like terms: 8 + 48 = 56
-27 + 4x = 56 + -6x

Solving
-27 + 4x = 56 + -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.
-27 + 4x + 6x = 56 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-27 + 10x = 56 + -6x + 6x

Combine like terms: -6x + 6x = 0
-27 + 10x = 56 + 0
-27 + 10x = 56

Add '27' to each side of the equation.
-27 + 27 + 10x = 56 + 27

Combine like terms: -27 + 27 = 0
0 + 10x = 56 + 27
10x = 56 + 27

Combine like terms: 56 + 27 = 83
10x = 83

Divide each side by '10'.
x = 8.3

Simplifying
x = 8.3

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