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

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


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

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

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

Reorder the terms:
3 + -2 + 6x + -4x = 10

Combine like terms: 3 + -2 = 1
1 + 6x + -4x = 10

Combine like terms: 6x + -4x = 2x
1 + 2x = 10

Solving
1 + 2x = 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 + 2x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 10 + -1
2x = 10 + -1

Combine like terms: 10 + -1 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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