2(x+2)=1+5x

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


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

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

Solving
4 + 2x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 2x + -5x = 1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
4 + -3x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -3x = 1 + 0
4 + -3x = 1

Add '-4' to each side of the equation.
4 + -4 + -3x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 1 + -4
-3x = 1 + -4

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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