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

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


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

Reorder the terms:
2(-2 + 4x) + 2(x + 2) = x + 6 + 4x + 3 + 4x + 7
(-2 * 2 + 4x * 2) + 2(x + 2) = x + 6 + 4x + 3 + 4x + 7
(-4 + 8x) + 2(x + 2) = x + 6 + 4x + 3 + 4x + 7

Reorder the terms:
-4 + 8x + 2(2 + x) = x + 6 + 4x + 3 + 4x + 7
-4 + 8x + (2 * 2 + x * 2) = x + 6 + 4x + 3 + 4x + 7
-4 + 8x + (4 + 2x) = x + 6 + 4x + 3 + 4x + 7

Reorder the terms:
-4 + 4 + 8x + 2x = x + 6 + 4x + 3 + 4x + 7

Combine like terms: -4 + 4 = 0
0 + 8x + 2x = x + 6 + 4x + 3 + 4x + 7
8x + 2x = x + 6 + 4x + 3 + 4x + 7

Combine like terms: 8x + 2x = 10x
10x = x + 6 + 4x + 3 + 4x + 7

Reorder the terms:
10x = 6 + 3 + 7 + x + 4x + 4x

Combine like terms: 6 + 3 = 9
10x = 9 + 7 + x + 4x + 4x

Combine like terms: 9 + 7 = 16
10x = 16 + x + 4x + 4x

Combine like terms: x + 4x = 5x
10x = 16 + 5x + 4x

Combine like terms: 5x + 4x = 9x
10x = 16 + 9x

Solving
10x = 16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10x + -9x = 16 + 9x + -9x

Combine like terms: 10x + -9x = 1x
1x = 16 + 9x + -9x

Combine like terms: 9x + -9x = 0
1x = 16 + 0
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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