3(5x+8)=10x-5

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Solution for 3(5x+8)=10x-5 equation:


Simplifying
3(5x + 8) = 10x + -5

Reorder the terms:
3(8 + 5x) = 10x + -5
(8 * 3 + 5x * 3) = 10x + -5
(24 + 15x) = 10x + -5

Reorder the terms:
24 + 15x = -5 + 10x

Solving
24 + 15x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
24 + 15x + -10x = -5 + 10x + -10x

Combine like terms: 15x + -10x = 5x
24 + 5x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + 5x = -5 + 0
24 + 5x = -5

Add '-24' to each side of the equation.
24 + -24 + 5x = -5 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -5 + -24
5x = -5 + -24

Combine like terms: -5 + -24 = -29
5x = -29

Divide each side by '5'.
x = -5.8

Simplifying
x = -5.8

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