3(2x+5)=8x-5

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Solution for 3(2x+5)=8x-5 equation: 


Simplifying
3(2x + 5) = 8x + -5

Reorder the terms:
3(5 + 2x) = 8x + -5
(5 * 3 + 2x * 3) = 8x + -5
(15 + 6x) = 8x + -5

Reorder the terms:
15 + 6x = -5 + 8x

Solving
15 + 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.
15 + 6x + -8x = -5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
15 + -2x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -2x = -5 + 0
15 + -2x = -5

Add '-15' to each side of the equation.
15 + -15 + -2x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -5 + -15
-2x = -5 + -15

Combine like terms: -5 + -15 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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