6+8(x-3)=9-5(x-8)

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Solution for 6+8(x-3)=9-5(x-8) equation:


Simplifying
6 + 8(x + -3) = 9 + -5(x + -8)

Reorder the terms:
6 + 8(-3 + x) = 9 + -5(x + -8)
6 + (-3 * 8 + x * 8) = 9 + -5(x + -8)
6 + (-24 + 8x) = 9 + -5(x + -8)

Combine like terms: 6 + -24 = -18
-18 + 8x = 9 + -5(x + -8)

Reorder the terms:
-18 + 8x = 9 + -5(-8 + x)
-18 + 8x = 9 + (-8 * -5 + x * -5)
-18 + 8x = 9 + (40 + -5x)

Combine like terms: 9 + 40 = 49
-18 + 8x = 49 + -5x

Solving
-18 + 8x = 49 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-18 + 8x + 5x = 49 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-18 + 13x = 49 + -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 13x = 49 + 0
-18 + 13x = 49

Add '18' to each side of the equation.
-18 + 18 + 13x = 49 + 18

Combine like terms: -18 + 18 = 0
0 + 13x = 49 + 18
13x = 49 + 18

Combine like terms: 49 + 18 = 67
13x = 67

Divide each side by '13'.
x = 5.153846154

Simplifying
x = 5.153846154

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