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

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


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

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

Reorder the terms:
12 + 4x + 8(2 + x) = 6(4x + -3)
12 + 4x + (2 * 8 + x * 8) = 6(4x + -3)
12 + 4x + (16 + 8x) = 6(4x + -3)

Reorder the terms:
12 + 16 + 4x + 8x = 6(4x + -3)

Combine like terms: 12 + 16 = 28
28 + 4x + 8x = 6(4x + -3)

Combine like terms: 4x + 8x = 12x
28 + 12x = 6(4x + -3)

Reorder the terms:
28 + 12x = 6(-3 + 4x)
28 + 12x = (-3 * 6 + 4x * 6)
28 + 12x = (-18 + 24x)

Solving
28 + 12x = -18 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
28 + 12x + -24x = -18 + 24x + -24x

Combine like terms: 12x + -24x = -12x
28 + -12x = -18 + 24x + -24x

Combine like terms: 24x + -24x = 0
28 + -12x = -18 + 0
28 + -12x = -18

Add '-28' to each side of the equation.
28 + -28 + -12x = -18 + -28

Combine like terms: 28 + -28 = 0
0 + -12x = -18 + -28
-12x = -18 + -28

Combine like terms: -18 + -28 = -46
-12x = -46

Divide each side by '-12'.
x = 3.833333333

Simplifying
x = 3.833333333

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