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

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


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

Reorder the terms:
2(-2 + 3x) + -3(x + 1) = 5
(-2 * 2 + 3x * 2) + -3(x + 1) = 5
(-4 + 6x) + -3(x + 1) = 5

Reorder the terms:
-4 + 6x + -3(1 + x) = 5
-4 + 6x + (1 * -3 + x * -3) = 5
-4 + 6x + (-3 + -3x) = 5

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

Combine like terms: -4 + -3 = -7
-7 + 6x + -3x = 5

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

Solving
-7 + 3x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 5 + 7
3x = 5 + 7

Combine like terms: 5 + 7 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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