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

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


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

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

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

Reorder the terms:
-4 + -8 + 4x + -6x = 6

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

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

Solving
-12 + -2x = 6

Solving for variable 'x'.

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

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

Combine like terms: -12 + 12 = 0
0 + -2x = 6 + 12
-2x = 6 + 12

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

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

Simplifying
x = -9

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