3(2+x)-(6-3x)+4(1-2x)=10

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Solution for 3(2+x)-(6-3x)+4(1-2x)=10 equation: 


Simplifying
3(2 + x) + -1(6 + -3x) + 4(1 + -2x) = 10
(2 * 3 + x * 3) + -1(6 + -3x) + 4(1 + -2x) = 10
(6 + 3x) + -1(6 + -3x) + 4(1 + -2x) = 10
6 + 3x + (6 * -1 + -3x * -1) + 4(1 + -2x) = 10
6 + 3x + (-6 + 3x) + 4(1 + -2x) = 10
6 + 3x + -6 + 3x + (1 * 4 + -2x * 4) = 10
6 + 3x + -6 + 3x + (4 + -8x) = 10

Reorder the terms:
6 + -6 + 4 + 3x + 3x + -8x = 10

Combine like terms: 6 + -6 = 0
0 + 4 + 3x + 3x + -8x = 10
4 + 3x + 3x + -8x = 10

Combine like terms: 3x + 3x = 6x
4 + 6x + -8x = 10

Combine like terms: 6x + -8x = -2x
4 + -2x = 10

Solving
4 + -2x = 10

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -2x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 10 + -4
-2x = 10 + -4

Combine like terms: 10 + -4 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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