5(2x+1)+6(1-2x)=1

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Solution for 5(2x+1)+6(1-2x)=1 equation: 


Simplifying
5(2x + 1) + 6(1 + -2x) = 1

Reorder the terms:
5(1 + 2x) + 6(1 + -2x) = 1
(1 * 5 + 2x * 5) + 6(1 + -2x) = 1
(5 + 10x) + 6(1 + -2x) = 1
5 + 10x + (1 * 6 + -2x * 6) = 1
5 + 10x + (6 + -12x) = 1

Reorder the terms:
5 + 6 + 10x + -12x = 1

Combine like terms: 5 + 6 = 11
11 + 10x + -12x = 1

Combine like terms: 10x + -12x = -2x
11 + -2x = 1

Solving
11 + -2x = 1

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 1 + -11
-2x = 1 + -11

Combine like terms: 1 + -11 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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