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

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


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

Reorder the terms:
4(6 + 2x) + 3(-2x + -4) = 6(x + 3)
(6 * 4 + 2x * 4) + 3(-2x + -4) = 6(x + 3)
(24 + 8x) + 3(-2x + -4) = 6(x + 3)

Reorder the terms:
24 + 8x + 3(-4 + -2x) = 6(x + 3)
24 + 8x + (-4 * 3 + -2x * 3) = 6(x + 3)
24 + 8x + (-12 + -6x) = 6(x + 3)

Reorder the terms:
24 + -12 + 8x + -6x = 6(x + 3)

Combine like terms: 24 + -12 = 12
12 + 8x + -6x = 6(x + 3)

Combine like terms: 8x + -6x = 2x
12 + 2x = 6(x + 3)

Reorder the terms:
12 + 2x = 6(3 + x)
12 + 2x = (3 * 6 + x * 6)
12 + 2x = (18 + 6x)

Solving
12 + 2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
12 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -4x = 18 + 0
12 + -4x = 18

Add '-12' to each side of the equation.
12 + -12 + -4x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 18 + -12
-4x = 18 + -12

Combine like terms: 18 + -12 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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