8(x+3)+2x-1=2x-5+x

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Solution for 8(x+3)+2x-1=2x-5+x equation:


Simplifying
8(x + 3) + 2x + -1 = 2x + -5 + x

Reorder the terms:
8(3 + x) + 2x + -1 = 2x + -5 + x
(3 * 8 + x * 8) + 2x + -1 = 2x + -5 + x
(24 + 8x) + 2x + -1 = 2x + -5 + x

Reorder the terms:
24 + -1 + 8x + 2x = 2x + -5 + x

Combine like terms: 24 + -1 = 23
23 + 8x + 2x = 2x + -5 + x

Combine like terms: 8x + 2x = 10x
23 + 10x = 2x + -5 + x

Reorder the terms:
23 + 10x = -5 + 2x + x

Combine like terms: 2x + x = 3x
23 + 10x = -5 + 3x

Solving
23 + 10x = -5 + 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.
23 + 10x + -3x = -5 + 3x + -3x

Combine like terms: 10x + -3x = 7x
23 + 7x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + 7x = -5 + 0
23 + 7x = -5

Add '-23' to each side of the equation.
23 + -23 + 7x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + 7x = -5 + -23
7x = -5 + -23

Combine like terms: -5 + -23 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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