2(8x+4)-4(x+6)=8x+3x

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Solution for 2(8x+4)-4(x+6)=8x+3x equation:


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

Reorder the terms:
2(4 + 8x) + -4(x + 6) = 8x + 3x
(4 * 2 + 8x * 2) + -4(x + 6) = 8x + 3x
(8 + 16x) + -4(x + 6) = 8x + 3x

Reorder the terms:
8 + 16x + -4(6 + x) = 8x + 3x
8 + 16x + (6 * -4 + x * -4) = 8x + 3x
8 + 16x + (-24 + -4x) = 8x + 3x

Reorder the terms:
8 + -24 + 16x + -4x = 8x + 3x

Combine like terms: 8 + -24 = -16
-16 + 16x + -4x = 8x + 3x

Combine like terms: 16x + -4x = 12x
-16 + 12x = 8x + 3x

Combine like terms: 8x + 3x = 11x
-16 + 12x = 11x

Solving
-16 + 12x = 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-16 + 12x + -11x = 11x + -11x

Combine like terms: 12x + -11x = 1x
-16 + 1x = 11x + -11x

Combine like terms: 11x + -11x = 0
-16 + 1x = 0

Add '16' to each side of the equation.
-16 + 16 + 1x = 0 + 16

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

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

Divide each side by '1'.
x = 16

Simplifying
x = 16

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