9+4(x-8)=7-6(x-9)

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Solution for 9+4(x-8)=7-6(x-9) equation:


Simplifying
9 + 4(x + -8) = 7 + -6(x + -9)

Reorder the terms:
9 + 4(-8 + x) = 7 + -6(x + -9)
9 + (-8 * 4 + x * 4) = 7 + -6(x + -9)
9 + (-32 + 4x) = 7 + -6(x + -9)

Combine like terms: 9 + -32 = -23
-23 + 4x = 7 + -6(x + -9)

Reorder the terms:
-23 + 4x = 7 + -6(-9 + x)
-23 + 4x = 7 + (-9 * -6 + x * -6)
-23 + 4x = 7 + (54 + -6x)

Combine like terms: 7 + 54 = 61
-23 + 4x = 61 + -6x

Solving
-23 + 4x = 61 + -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.
-23 + 4x + 6x = 61 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-23 + 10x = 61 + -6x + 6x

Combine like terms: -6x + 6x = 0
-23 + 10x = 61 + 0
-23 + 10x = 61

Add '23' to each side of the equation.
-23 + 23 + 10x = 61 + 23

Combine like terms: -23 + 23 = 0
0 + 10x = 61 + 23
10x = 61 + 23

Combine like terms: 61 + 23 = 84
10x = 84

Divide each side by '10'.
x = 8.4

Simplifying
x = 8.4

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