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

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


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

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

Reorder the terms:
-3 + 6x = 2(2 + x) + 5
-3 + 6x = (2 * 2 + x * 2) + 5
-3 + 6x = (4 + 2x) + 5

Reorder the terms:
-3 + 6x = 4 + 5 + 2x

Combine like terms: 4 + 5 = 9
-3 + 6x = 9 + 2x

Solving
-3 + 6x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 6x + -2x = 9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-3 + 4x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 4x = 9 + 0
-3 + 4x = 9

Add '3' to each side of the equation.
-3 + 3 + 4x = 9 + 3

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

Combine like terms: 9 + 3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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