5x-2(3x+6)=4-(3+2x)+7

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Solution for 5x-2(3x+6)=4-(3+2x)+7 equation: 


Simplifying
5x + -2(3x + 6) = 4 + -1(3 + 2x) + 7

Reorder the terms:
5x + -2(6 + 3x) = 4 + -1(3 + 2x) + 7
5x + (6 * -2 + 3x * -2) = 4 + -1(3 + 2x) + 7
5x + (-12 + -6x) = 4 + -1(3 + 2x) + 7

Reorder the terms:
-12 + 5x + -6x = 4 + -1(3 + 2x) + 7

Combine like terms: 5x + -6x = -1x
-12 + -1x = 4 + -1(3 + 2x) + 7
-12 + -1x = 4 + (3 * -1 + 2x * -1) + 7
-12 + -1x = 4 + (-3 + -2x) + 7

Reorder the terms:
-12 + -1x = 4 + -3 + 7 + -2x

Combine like terms: 4 + -3 = 1
-12 + -1x = 1 + 7 + -2x

Combine like terms: 1 + 7 = 8
-12 + -1x = 8 + -2x

Solving
-12 + -1x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + -1x + 2x = 8 + -2x + 2x

Combine like terms: -1x + 2x = 1x
-12 + 1x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 1x = 8 + 0
-12 + 1x = 8

Add '12' to each side of the equation.
-12 + 12 + 1x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 8 + 12
1x = 8 + 12

Combine like terms: 8 + 12 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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