4(x-3)-6(x+1)=4(3x+4)-2(8+6x)

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Solution for 4(x-3)-6(x+1)=4(3x+4)-2(8+6x) equation:


Simplifying
4(x + -3) + -6(x + 1) = 4(3x + 4) + -2(8 + 6x)

Reorder the terms:
4(-3 + x) + -6(x + 1) = 4(3x + 4) + -2(8 + 6x)
(-3 * 4 + x * 4) + -6(x + 1) = 4(3x + 4) + -2(8 + 6x)
(-12 + 4x) + -6(x + 1) = 4(3x + 4) + -2(8 + 6x)

Reorder the terms:
-12 + 4x + -6(1 + x) = 4(3x + 4) + -2(8 + 6x)
-12 + 4x + (1 * -6 + x * -6) = 4(3x + 4) + -2(8 + 6x)
-12 + 4x + (-6 + -6x) = 4(3x + 4) + -2(8 + 6x)

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

Combine like terms: -12 + -6 = -18
-18 + 4x + -6x = 4(3x + 4) + -2(8 + 6x)

Combine like terms: 4x + -6x = -2x
-18 + -2x = 4(3x + 4) + -2(8 + 6x)

Reorder the terms:
-18 + -2x = 4(4 + 3x) + -2(8 + 6x)
-18 + -2x = (4 * 4 + 3x * 4) + -2(8 + 6x)
-18 + -2x = (16 + 12x) + -2(8 + 6x)
-18 + -2x = 16 + 12x + (8 * -2 + 6x * -2)
-18 + -2x = 16 + 12x + (-16 + -12x)

Reorder the terms:
-18 + -2x = 16 + -16 + 12x + -12x

Combine like terms: 16 + -16 = 0
-18 + -2x = 0 + 12x + -12x
-18 + -2x = 12x + -12x

Combine like terms: 12x + -12x = 0
-18 + -2x = 0

Solving
-18 + -2x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -2x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = 0 + 18
-2x = 0 + 18

Combine like terms: 0 + 18 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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