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

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


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

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

Reorder the terms:
12 + 4x = -8(6 + -2x)
12 + 4x = (6 * -8 + -2x * -8)
12 + 4x = (-48 + 16x)

Solving
12 + 4x = -48 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
12 + 4x + -16x = -48 + 16x + -16x

Combine like terms: 4x + -16x = -12x
12 + -12x = -48 + 16x + -16x

Combine like terms: 16x + -16x = 0
12 + -12x = -48 + 0
12 + -12x = -48

Add '-12' to each side of the equation.
12 + -12 + -12x = -48 + -12

Combine like terms: 12 + -12 = 0
0 + -12x = -48 + -12
-12x = -48 + -12

Combine like terms: -48 + -12 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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