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

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


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

Reorder the terms:
3(3 + 2x) + -2(x + -2) = 5
(3 * 3 + 2x * 3) + -2(x + -2) = 5
(9 + 6x) + -2(x + -2) = 5

Reorder the terms:
9 + 6x + -2(-2 + x) = 5
9 + 6x + (-2 * -2 + x * -2) = 5
9 + 6x + (4 + -2x) = 5

Reorder the terms:
9 + 4 + 6x + -2x = 5

Combine like terms: 9 + 4 = 13
13 + 6x + -2x = 5

Combine like terms: 6x + -2x = 4x
13 + 4x = 5

Solving
13 + 4x = 5

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 4x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 5 + -13
4x = 5 + -13

Combine like terms: 5 + -13 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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