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

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


Simplifying
2(2 + 3x) = 5x + -2
(2 * 2 + 3x * 2) = 5x + -2
(4 + 6x) = 5x + -2

Reorder the terms:
4 + 6x = -2 + 5x

Solving
4 + 6x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 6x + -5x = -2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
4 + 1x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + 1x = -2 + 0
4 + 1x = -2

Add '-4' to each side of the equation.
4 + -4 + 1x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -2 + -4
1x = -2 + -4

Combine like terms: -2 + -4 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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