2(x+3)-3(6+2x)+5(2x-4)=10

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Solution for 2(x+3)-3(6+2x)+5(2x-4)=10 equation:


Simplifying
2(x + 3) + -3(6 + 2x) + 5(2x + -4) = 10

Reorder the terms:
2(3 + x) + -3(6 + 2x) + 5(2x + -4) = 10
(3 * 2 + x * 2) + -3(6 + 2x) + 5(2x + -4) = 10
(6 + 2x) + -3(6 + 2x) + 5(2x + -4) = 10
6 + 2x + (6 * -3 + 2x * -3) + 5(2x + -4) = 10
6 + 2x + (-18 + -6x) + 5(2x + -4) = 10

Reorder the terms:
6 + 2x + -18 + -6x + 5(-4 + 2x) = 10
6 + 2x + -18 + -6x + (-4 * 5 + 2x * 5) = 10
6 + 2x + -18 + -6x + (-20 + 10x) = 10

Reorder the terms:
6 + -18 + -20 + 2x + -6x + 10x = 10

Combine like terms: 6 + -18 = -12
-12 + -20 + 2x + -6x + 10x = 10

Combine like terms: -12 + -20 = -32
-32 + 2x + -6x + 10x = 10

Combine like terms: 2x + -6x = -4x
-32 + -4x + 10x = 10

Combine like terms: -4x + 10x = 6x
-32 + 6x = 10

Solving
-32 + 6x = 10

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 6x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 6x = 10 + 32
6x = 10 + 32

Combine like terms: 10 + 32 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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