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

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


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

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

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

Reorder the terms:
-12 + 2 + 4x + -2x = -6

Combine like terms: -12 + 2 = -10
-10 + 4x + -2x = -6

Combine like terms: 4x + -2x = 2x
-10 + 2x = -6

Solving
-10 + 2x = -6

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -6 + 10
2x = -6 + 10

Combine like terms: -6 + 10 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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