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

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


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

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

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

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

Combine like terms: -12 + -32 = -44
-44 + 8x + 8x = 2(2x + 6)

Combine like terms: 8x + 8x = 16x
-44 + 16x = 2(2x + 6)

Reorder the terms:
-44 + 16x = 2(6 + 2x)
-44 + 16x = (6 * 2 + 2x * 2)
-44 + 16x = (12 + 4x)

Solving
-44 + 16x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-44 + 16x + -4x = 12 + 4x + -4x

Combine like terms: 16x + -4x = 12x
-44 + 12x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-44 + 12x = 12 + 0
-44 + 12x = 12

Add '44' to each side of the equation.
-44 + 44 + 12x = 12 + 44

Combine like terms: -44 + 44 = 0
0 + 12x = 12 + 44
12x = 12 + 44

Combine like terms: 12 + 44 = 56
12x = 56

Divide each side by '12'.
x = 4.666666667

Simplifying
x = 4.666666667

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