6(x+5)=8x-5

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


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

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

Reorder the terms:
30 + 6x = -5 + 8x

Solving
30 + 6x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + 6x + -8x = -5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
30 + -2x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -2x = -5 + 0
30 + -2x = -5

Add '-30' to each side of the equation.
30 + -30 + -2x = -5 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = -5 + -30
-2x = -5 + -30

Combine like terms: -5 + -30 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

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