3x+7=2(x+4)+1

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Solution for 3x+7=2(x+4)+1 equation: 


Simplifying
3x + 7 = 2(x + 4) + 1

Reorder the terms:
7 + 3x = 2(x + 4) + 1

Reorder the terms:
7 + 3x = 2(4 + x) + 1
7 + 3x = (4 * 2 + x * 2) + 1
7 + 3x = (8 + 2x) + 1

Reorder the terms:
7 + 3x = 8 + 1 + 2x

Combine like terms: 8 + 1 = 9
7 + 3x = 9 + 2x

Solving
7 + 3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
7 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 1x = 9 + 0
7 + 1x = 9

Add '-7' to each side of the equation.
7 + -7 + 1x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 9 + -7
1x = 9 + -7

Combine like terms: 9 + -7 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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