6(x+2)+2x=10-3(8x+2)

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Solution for 6(x+2)+2x=10-3(8x+2) equation: 


Simplifying
6(x + 2) + 2x = 10 + -3(8x + 2)

Reorder the terms:
6(2 + x) + 2x = 10 + -3(8x + 2)
(2 * 6 + x * 6) + 2x = 10 + -3(8x + 2)
(12 + 6x) + 2x = 10 + -3(8x + 2)

Combine like terms: 6x + 2x = 8x
12 + 8x = 10 + -3(8x + 2)

Reorder the terms:
12 + 8x = 10 + -3(2 + 8x)
12 + 8x = 10 + (2 * -3 + 8x * -3)
12 + 8x = 10 + (-6 + -24x)

Combine like terms: 10 + -6 = 4
12 + 8x = 4 + -24x

Solving
12 + 8x = 4 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
12 + 8x + 24x = 4 + -24x + 24x

Combine like terms: 8x + 24x = 32x
12 + 32x = 4 + -24x + 24x

Combine like terms: -24x + 24x = 0
12 + 32x = 4 + 0
12 + 32x = 4

Add '-12' to each side of the equation.
12 + -12 + 32x = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 32x = 4 + -12
32x = 4 + -12

Combine like terms: 4 + -12 = -8
32x = -8

Divide each side by '32'.
x = -0.25

Simplifying
x = -0.25

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