2(x+5)=5x+1

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


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

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

Reorder the terms:
10 + 2x = 1 + 5x

Solving
10 + 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.
10 + 2x + -5x = 1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
10 + -3x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -3x = 1 + 0
10 + -3x = 1

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

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

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

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

Simplifying
x = 3

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