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

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


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

Reorder the terms:
6 = 2x + 5(-2 + 3x)
6 = 2x + (-2 * 5 + 3x * 5)
6 = 2x + (-10 + 15x)

Reorder the terms:
6 = -10 + 2x + 15x

Combine like terms: 2x + 15x = 17x
6 = -10 + 17x

Solving
6 = -10 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
6 + -17x = -10 + 17x + -17x

Combine like terms: 17x + -17x = 0
6 + -17x = -10 + 0
6 + -17x = -10

Add '-6' to each side of the equation.
6 + -6 + -17x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = -10 + -6
-17x = -10 + -6

Combine like terms: -10 + -6 = -16
-17x = -16

Divide each side by '-17'.
x = 0.9411764706

Simplifying
x = 0.9411764706

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