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

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


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

Reorder the terms:
3 + 8(-8 + x) = 9 + -9(x + -4)
3 + (-8 * 8 + x * 8) = 9 + -9(x + -4)
3 + (-64 + 8x) = 9 + -9(x + -4)

Combine like terms: 3 + -64 = -61
-61 + 8x = 9 + -9(x + -4)

Reorder the terms:
-61 + 8x = 9 + -9(-4 + x)
-61 + 8x = 9 + (-4 * -9 + x * -9)
-61 + 8x = 9 + (36 + -9x)

Combine like terms: 9 + 36 = 45
-61 + 8x = 45 + -9x

Solving
-61 + 8x = 45 + -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.
-61 + 8x + 9x = 45 + -9x + 9x

Combine like terms: 8x + 9x = 17x
-61 + 17x = 45 + -9x + 9x

Combine like terms: -9x + 9x = 0
-61 + 17x = 45 + 0
-61 + 17x = 45

Add '61' to each side of the equation.
-61 + 61 + 17x = 45 + 61

Combine like terms: -61 + 61 = 0
0 + 17x = 45 + 61
17x = 45 + 61

Combine like terms: 45 + 61 = 106
17x = 106

Divide each side by '17'.
x = 6.235294118

Simplifying
x = 6.235294118

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