3+8(x-4)=9-5(x-6)

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Solution for 3+8(x-4)=9-5(x-6) equation:


Simplifying
3 + 8(x + -4) = 9 + -5(x + -6)

Reorder the terms:
3 + 8(-4 + x) = 9 + -5(x + -6)
3 + (-4 * 8 + x * 8) = 9 + -5(x + -6)
3 + (-32 + 8x) = 9 + -5(x + -6)

Combine like terms: 3 + -32 = -29
-29 + 8x = 9 + -5(x + -6)

Reorder the terms:
-29 + 8x = 9 + -5(-6 + x)
-29 + 8x = 9 + (-6 * -5 + x * -5)
-29 + 8x = 9 + (30 + -5x)

Combine like terms: 9 + 30 = 39
-29 + 8x = 39 + -5x

Solving
-29 + 8x = 39 + -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.
-29 + 8x + 5x = 39 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-29 + 13x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
-29 + 13x = 39 + 0
-29 + 13x = 39

Add '29' to each side of the equation.
-29 + 29 + 13x = 39 + 29

Combine like terms: -29 + 29 = 0
0 + 13x = 39 + 29
13x = 39 + 29

Combine like terms: 39 + 29 = 68
13x = 68

Divide each side by '13'.
x = 5.230769231

Simplifying
x = 5.230769231

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