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

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


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

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

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

Combine like terms: -12 + 8 = -4
-4 + -4x = 2(x + 4)

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

Solving
-4 + -4x = 8 + 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.
-4 + -4x + -2x = 8 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-4 + -6x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + -6x = 8 + 0
-4 + -6x = 8

Add '4' to each side of the equation.
-4 + 4 + -6x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -6x = 8 + 4
-6x = 8 + 4

Combine like terms: 8 + 4 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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