8(x+3)+(6+2x)=2(x-2)+5(5+x)

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Solution for 8(x+3)+(6+2x)=2(x-2)+5(5+x) equation:


Simplifying
8(x + 3) + (6 + 2x) = 2(x + -2) + 5(5 + x)

Reorder the terms:
8(3 + x) + (6 + 2x) = 2(x + -2) + 5(5 + x)
(3 * 8 + x * 8) + (6 + 2x) = 2(x + -2) + 5(5 + x)
(24 + 8x) + (6 + 2x) = 2(x + -2) + 5(5 + x)

Remove parenthesis around (6 + 2x)
24 + 8x + 6 + 2x = 2(x + -2) + 5(5 + x)

Reorder the terms:
24 + 6 + 8x + 2x = 2(x + -2) + 5(5 + x)

Combine like terms: 24 + 6 = 30
30 + 8x + 2x = 2(x + -2) + 5(5 + x)

Combine like terms: 8x + 2x = 10x
30 + 10x = 2(x + -2) + 5(5 + x)

Reorder the terms:
30 + 10x = 2(-2 + x) + 5(5 + x)
30 + 10x = (-2 * 2 + x * 2) + 5(5 + x)
30 + 10x = (-4 + 2x) + 5(5 + x)
30 + 10x = -4 + 2x + (5 * 5 + x * 5)
30 + 10x = -4 + 2x + (25 + 5x)

Reorder the terms:
30 + 10x = -4 + 25 + 2x + 5x

Combine like terms: -4 + 25 = 21
30 + 10x = 21 + 2x + 5x

Combine like terms: 2x + 5x = 7x
30 + 10x = 21 + 7x

Solving
30 + 10x = 21 + 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.
30 + 10x + -7x = 21 + 7x + -7x

Combine like terms: 10x + -7x = 3x
30 + 3x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 3x = 21 + 0
30 + 3x = 21

Add '-30' to each side of the equation.
30 + -30 + 3x = 21 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 21 + -30
3x = 21 + -30

Combine like terms: 21 + -30 = -9
3x = -9

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

Simplifying
x = -3

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