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

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


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

Reorder the terms:
5(-5 + x) + -8(x + 5) = 6x
(-5 * 5 + x * 5) + -8(x + 5) = 6x
(-25 + 5x) + -8(x + 5) = 6x

Reorder the terms:
-25 + 5x + -8(5 + x) = 6x
-25 + 5x + (5 * -8 + x * -8) = 6x
-25 + 5x + (-40 + -8x) = 6x

Reorder the terms:
-25 + -40 + 5x + -8x = 6x

Combine like terms: -25 + -40 = -65
-65 + 5x + -8x = 6x

Combine like terms: 5x + -8x = -3x
-65 + -3x = 6x

Solving
-65 + -3x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-65 + -3x + -6x = 6x + -6x

Combine like terms: -3x + -6x = -9x
-65 + -9x = 6x + -6x

Combine like terms: 6x + -6x = 0
-65 + -9x = 0

Add '65' to each side of the equation.
-65 + 65 + -9x = 0 + 65

Combine like terms: -65 + 65 = 0
0 + -9x = 0 + 65
-9x = 0 + 65

Combine like terms: 0 + 65 = 65
-9x = 65

Divide each side by '-9'.
x = -7.222222222

Simplifying
x = -7.222222222

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