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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