6x+2=3(5x+8)

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Solution for 6x+2=3(5x+8) equation:


Simplifying
6x + 2 = 3(5x + 8)

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

Reorder the terms:
2 + 6x = 3(8 + 5x)
2 + 6x = (8 * 3 + 5x * 3)
2 + 6x = (24 + 15x)

Solving
2 + 6x = 24 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 6x + -15x = 24 + 15x + -15x

Combine like terms: 6x + -15x = -9x
2 + -9x = 24 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -9x = 24 + 0
2 + -9x = 24

Add '-2' to each side of the equation.
2 + -2 + -9x = 24 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 24 + -2
-9x = 24 + -2

Combine like terms: 24 + -2 = 22
-9x = 22

Divide each side by '-9'.
x = -2.444444444

Simplifying
x = -2.444444444

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