x+2=2(3x-5)

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


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

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

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

Solving
2 + x = -10 + 6x

Solving for variable 'x'.

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

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

Combine like terms: x + -6x = -5x
2 + -5x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -5x = -10 + 0
2 + -5x = -10

Add '-2' to each side of the equation.
2 + -2 + -5x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -10 + -2
-5x = -10 + -2

Combine like terms: -10 + -2 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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