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

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


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

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

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

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

Combine like terms: 15x + -8x = 7x
6 + 7x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 7x = -5 + 0
6 + 7x = -5

Add '-6' to each side of the equation.
6 + -6 + 7x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -5 + -6
7x = -5 + -6

Combine like terms: -5 + -6 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571

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