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

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


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

Reorder the terms:
4(3 + 2x) + 8(x + -4) = 2(x + 6)
(3 * 4 + 2x * 4) + 8(x + -4) = 2(x + 6)
(12 + 8x) + 8(x + -4) = 2(x + 6)

Reorder the terms:
12 + 8x + 8(-4 + x) = 2(x + 6)
12 + 8x + (-4 * 8 + x * 8) = 2(x + 6)
12 + 8x + (-32 + 8x) = 2(x + 6)

Reorder the terms:
12 + -32 + 8x + 8x = 2(x + 6)

Combine like terms: 12 + -32 = -20
-20 + 8x + 8x = 2(x + 6)

Combine like terms: 8x + 8x = 16x
-20 + 16x = 2(x + 6)

Reorder the terms:
-20 + 16x = 2(6 + x)
-20 + 16x = (6 * 2 + x * 2)
-20 + 16x = (12 + 2x)

Solving
-20 + 16x = 12 + 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.
-20 + 16x + -2x = 12 + 2x + -2x

Combine like terms: 16x + -2x = 14x
-20 + 14x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 14x = 12 + 0
-20 + 14x = 12

Add '20' to each side of the equation.
-20 + 20 + 14x = 12 + 20

Combine like terms: -20 + 20 = 0
0 + 14x = 12 + 20
14x = 12 + 20

Combine like terms: 12 + 20 = 32
14x = 32

Divide each side by '14'.
x = 2.285714286

Simplifying
x = 2.285714286

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