2(x+4)+2=5x+1

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Solution for 2(x+4)+2=5x+1 equation:


Simplifying
2(x + 4) + 2 = 5x + 1

Reorder the terms:
2(4 + x) + 2 = 5x + 1
(4 * 2 + x * 2) + 2 = 5x + 1
(8 + 2x) + 2 = 5x + 1

Reorder the terms:
8 + 2 + 2x = 5x + 1

Combine like terms: 8 + 2 = 10
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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