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 for easier multiplication:
4(2 * -3x) + 8(x + -4) = 2(2x + 6)

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

Remove parenthesis around (-6x)
4 * -6x + 8(x + -4) = 2(2x + 6)

Multiply 4 * -6
-24x + 8(x + -4) = 2(2x + 6)

Reorder the terms:
-24x + 8(-4 + x) = 2(2x + 6)
-24x + (-4 * 8 + x * 8) = 2(2x + 6)
-24x + (-32 + 8x) = 2(2x + 6)

Reorder the terms:
-32 + -24x + 8x = 2(2x + 6)

Combine like terms: -24x + 8x = -16x
-32 + -16x = 2(2x + 6)

Reorder the terms:
-32 + -16x = 2(6 + 2x)
-32 + -16x = (6 * 2 + 2x * 2)
-32 + -16x = (12 + 4x)

Solving
-32 + -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.
-32 + -16x + -4x = 12 + 4x + -4x

Combine like terms: -16x + -4x = -20x
-32 + -20x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + -20x = 12 + 0
-32 + -20x = 12

Add '32' to each side of the equation.
-32 + 32 + -20x = 12 + 32

Combine like terms: -32 + 32 = 0
0 + -20x = 12 + 32
-20x = 12 + 32

Combine like terms: 12 + 32 = 44
-20x = 44

Divide each side by '-20'.
x = -2.2

Simplifying
x = -2.2

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