2(3x+1)=5(x-2)+3

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Solution for 2(3x+1)=5(x-2)+3 equation: 


Simplifying
2(3x + 1) = 5(x + -2) + 3

Reorder the terms:
2(1 + 3x) = 5(x + -2) + 3
(1 * 2 + 3x * 2) = 5(x + -2) + 3
(2 + 6x) = 5(x + -2) + 3

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

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

Combine like terms: -10 + 3 = -7
2 + 6x = -7 + 5x

Solving
2 + 6x = -7 + 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.
2 + 6x + -5x = -7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
2 + 1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 1x = -7 + 0
2 + 1x = -7

Add '-2' to each side of the equation.
2 + -2 + 1x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -7 + -2
1x = -7 + -2

Combine like terms: -7 + -2 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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