2(3x+2)-3(x+1)=10

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Solution for 2(3x+2)-3(x+1)=10 equation: 


Simplifying
2(3x + 2) + -3(x + 1) = 10

Reorder the terms:
2(2 + 3x) + -3(x + 1) = 10
(2 * 2 + 3x * 2) + -3(x + 1) = 10
(4 + 6x) + -3(x + 1) = 10

Reorder the terms:
4 + 6x + -3(1 + x) = 10
4 + 6x + (1 * -3 + x * -3) = 10
4 + 6x + (-3 + -3x) = 10

Reorder the terms:
4 + -3 + 6x + -3x = 10

Combine like terms: 4 + -3 = 1
1 + 6x + -3x = 10

Combine like terms: 6x + -3x = 3x
1 + 3x = 10

Solving
1 + 3x = 10

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 10 + -1
3x = 10 + -1

Combine like terms: 10 + -1 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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