2(x+7)=3(x+1)+1

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Solution for 2(x+7)=3(x+1)+1 equation:


Simplifying
2(x + 7) = 3(x + 1) + 1

Reorder the terms:
2(7 + x) = 3(x + 1) + 1
(7 * 2 + x * 2) = 3(x + 1) + 1
(14 + 2x) = 3(x + 1) + 1

Reorder the terms:
14 + 2x = 3(1 + x) + 1
14 + 2x = (1 * 3 + x * 3) + 1
14 + 2x = (3 + 3x) + 1

Reorder the terms:
14 + 2x = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
14 + 2x = 4 + 3x

Solving
14 + 2x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 2x + -3x = 4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 4 + 0
14 + -1x = 4

Add '-14' to each side of the equation.
14 + -14 + -1x = 4 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 4 + -14
-1x = 4 + -14

Combine like terms: 4 + -14 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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