3(2x+1)-(-2x+13)=10

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Solution for 3(2x+1)-(-2x+13)=10 equation: 


Simplifying
3(2x + 1) + -1(-2x + 13) = 10

Reorder the terms:
3(1 + 2x) + -1(-2x + 13) = 10
(1 * 3 + 2x * 3) + -1(-2x + 13) = 10
(3 + 6x) + -1(-2x + 13) = 10

Reorder the terms:
3 + 6x + -1(13 + -2x) = 10
3 + 6x + (13 * -1 + -2x * -1) = 10
3 + 6x + (-13 + 2x) = 10

Reorder the terms:
3 + -13 + 6x + 2x = 10

Combine like terms: 3 + -13 = -10
-10 + 6x + 2x = 10

Combine like terms: 6x + 2x = 8x
-10 + 8x = 10

Solving
-10 + 8x = 10

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 8x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 10 + 10
8x = 10 + 10

Combine like terms: 10 + 10 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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