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

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


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

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

Remove parenthesis around (3 + x)
3 + x = 2(3x + -5)

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

Solving
3 + 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.
3 + x + -6x = -10 + 6x + -6x

Combine like terms: x + -6x = -5x
3 + -5x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -5x = -10 + 0
3 + -5x = -10

Add '-3' to each side of the equation.
3 + -3 + -5x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -10 + -3
-5x = -10 + -3

Combine like terms: -10 + -3 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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