8+6(x+2)=2(x+15)+10

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Solution for 8+6(x+2)=2(x+15)+10 equation: 


Simplifying
8 + 6(x + 2) = 2(x + 15) + 10

Reorder the terms:
8 + 6(2 + x) = 2(x + 15) + 10
8 + (2 * 6 + x * 6) = 2(x + 15) + 10
8 + (12 + 6x) = 2(x + 15) + 10

Combine like terms: 8 + 12 = 20
20 + 6x = 2(x + 15) + 10

Reorder the terms:
20 + 6x = 2(15 + x) + 10
20 + 6x = (15 * 2 + x * 2) + 10
20 + 6x = (30 + 2x) + 10

Reorder the terms:
20 + 6x = 30 + 10 + 2x

Combine like terms: 30 + 10 = 40
20 + 6x = 40 + 2x

Solving
20 + 6x = 40 + 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.
20 + 6x + -2x = 40 + 2x + -2x

Combine like terms: 6x + -2x = 4x
20 + 4x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 4x = 40 + 0
20 + 4x = 40

Add '-20' to each side of the equation.
20 + -20 + 4x = 40 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = 40 + -20
4x = 40 + -20

Combine like terms: 40 + -20 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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