(2+3*x)*2=10-3*x

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Solution for (2+3*x)*2=10-3*x equation: 


Simplifying
(2 + 3x) * 2 = 10 + -3x

Reorder the terms for easier multiplication:
2(2 + 3x) = 10 + -3x
(2 * 2 + 3x * 2) = 10 + -3x
(4 + 6x) = 10 + -3x

Solving
4 + 6x = 10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
4 + 6x + 3x = 10 + -3x + 3x

Combine like terms: 6x + 3x = 9x
4 + 9x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 9x = 10 + 0
4 + 9x = 10

Add '-4' to each side of the equation.
4 + -4 + 9x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 10 + -4
9x = 10 + -4

Combine like terms: 10 + -4 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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