2(4x+8+2x)-3(x+8+10)=10

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Solution for 2(4x+8+2x)-3(x+8+10)=10 equation: 


Simplifying
2(4x + 8 + 2x) + -3(x + 8 + 10) = 10

Reorder the terms:
2(8 + 4x + 2x) + -3(x + 8 + 10) = 10

Combine like terms: 4x + 2x = 6x
2(8 + 6x) + -3(x + 8 + 10) = 10
(8 * 2 + 6x * 2) + -3(x + 8 + 10) = 10
(16 + 12x) + -3(x + 8 + 10) = 10

Reorder the terms:
16 + 12x + -3(8 + 10 + x) = 10

Combine like terms: 8 + 10 = 18
16 + 12x + -3(18 + x) = 10
16 + 12x + (18 * -3 + x * -3) = 10
16 + 12x + (-54 + -3x) = 10

Reorder the terms:
16 + -54 + 12x + -3x = 10

Combine like terms: 16 + -54 = -38
-38 + 12x + -3x = 10

Combine like terms: 12x + -3x = 9x
-38 + 9x = 10

Solving
-38 + 9x = 10

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 9x = 10 + 38

Combine like terms: -38 + 38 = 0
0 + 9x = 10 + 38
9x = 10 + 38

Combine like terms: 10 + 38 = 48
9x = 48

Divide each side by '9'.
x = 5.333333333

Simplifying
x = 5.333333333

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