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

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


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

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

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

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

Solving
-2 = -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.
-2 + -17x = -10 + 17x + -17x

Combine like terms: 17x + -17x = 0
-2 + -17x = -10 + 0
-2 + -17x = -10

Add '2' to each side of the equation.
-2 + 2 + -17x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -17x = -10 + 2
-17x = -10 + 2

Combine like terms: -10 + 2 = -8
-17x = -8

Divide each side by '-17'.
x = 0.4705882353

Simplifying
x = 0.4705882353

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