2(x+8)=7x+1

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Solution for 2(x+8)=7x+1 equation: 


Simplifying
2(x + 8) = 7x + 1

Reorder the terms:
2(8 + x) = 7x + 1
(8 * 2 + x * 2) = 7x + 1
(16 + 2x) = 7x + 1

Reorder the terms:
16 + 2x = 1 + 7x

Solving
16 + 2x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + 2x + -7x = 1 + 7x + -7x

Combine like terms: 2x + -7x = -5x
16 + -5x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -5x = 1 + 0
16 + -5x = 1

Add '-16' to each side of the equation.
16 + -16 + -5x = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 1 + -16
-5x = 1 + -16

Combine like terms: 1 + -16 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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