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

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


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

Reorder the terms:
9x + -8(5 + x) = 6 + -3x
9x + (5 * -8 + x * -8) = 6 + -3x
9x + (-40 + -8x) = 6 + -3x

Reorder the terms:
-40 + 9x + -8x = 6 + -3x

Combine like terms: 9x + -8x = 1x
-40 + 1x = 6 + -3x

Solving
-40 + 1x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-40 + 1x + 3x = 6 + -3x + 3x

Combine like terms: 1x + 3x = 4x
-40 + 4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-40 + 4x = 6 + 0
-40 + 4x = 6

Add '40' to each side of the equation.
-40 + 40 + 4x = 6 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = 6 + 40
4x = 6 + 40

Combine like terms: 6 + 40 = 46
4x = 46

Divide each side by '4'.
x = 11.5

Simplifying
x = 11.5

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