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

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


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

Reorder the terms:
2(8 + x) + 3(x + -2) = x + 6
(8 * 2 + x * 2) + 3(x + -2) = x + 6
(16 + 2x) + 3(x + -2) = x + 6

Reorder the terms:
16 + 2x + 3(-2 + x) = x + 6
16 + 2x + (-2 * 3 + x * 3) = x + 6
16 + 2x + (-6 + 3x) = x + 6

Reorder the terms:
16 + -6 + 2x + 3x = x + 6

Combine like terms: 16 + -6 = 10
10 + 2x + 3x = x + 6

Combine like terms: 2x + 3x = 5x
10 + 5x = x + 6

Reorder the terms:
10 + 5x = 6 + x

Solving
10 + 5x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 5x + -1x = 6 + x + -1x

Combine like terms: 5x + -1x = 4x
10 + 4x = 6 + x + -1x

Combine like terms: x + -1x = 0
10 + 4x = 6 + 0
10 + 4x = 6

Add '-10' to each side of the equation.
10 + -10 + 4x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 6 + -10
4x = 6 + -10

Combine like terms: 6 + -10 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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