3x+7=8(x+2)+1

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Solution for 3x+7=8(x+2)+1 equation:


Simplifying
3x + 7 = 8(x + 2) + 1

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

Reorder the terms:
7 + 3x = 8(2 + x) + 1
7 + 3x = (2 * 8 + x * 8) + 1
7 + 3x = (16 + 8x) + 1

Reorder the terms:
7 + 3x = 16 + 1 + 8x

Combine like terms: 16 + 1 = 17
7 + 3x = 17 + 8x

Solving
7 + 3x = 17 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + 3x + -8x = 17 + 8x + -8x

Combine like terms: 3x + -8x = -5x
7 + -5x = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -5x = 17 + 0
7 + -5x = 17

Add '-7' to each side of the equation.
7 + -7 + -5x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 17 + -7
-5x = 17 + -7

Combine like terms: 17 + -7 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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