2+8(x-5)=6-9(x-2)

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Solution for 2+8(x-5)=6-9(x-2) equation:


Simplifying
2 + 8(x + -5) = 6 + -9(x + -2)

Reorder the terms:
2 + 8(-5 + x) = 6 + -9(x + -2)
2 + (-5 * 8 + x * 8) = 6 + -9(x + -2)
2 + (-40 + 8x) = 6 + -9(x + -2)

Combine like terms: 2 + -40 = -38
-38 + 8x = 6 + -9(x + -2)

Reorder the terms:
-38 + 8x = 6 + -9(-2 + x)
-38 + 8x = 6 + (-2 * -9 + x * -9)
-38 + 8x = 6 + (18 + -9x)

Combine like terms: 6 + 18 = 24
-38 + 8x = 24 + -9x

Solving
-38 + 8x = 24 + -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.
-38 + 8x + 9x = 24 + -9x + 9x

Combine like terms: 8x + 9x = 17x
-38 + 17x = 24 + -9x + 9x

Combine like terms: -9x + 9x = 0
-38 + 17x = 24 + 0
-38 + 17x = 24

Add '38' to each side of the equation.
-38 + 38 + 17x = 24 + 38

Combine like terms: -38 + 38 = 0
0 + 17x = 24 + 38
17x = 24 + 38

Combine like terms: 24 + 38 = 62
17x = 62

Divide each side by '17'.
x = 3.647058824

Simplifying
x = 3.647058824

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