4(x-1)-2(3x+5)=3-1

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Solution for 4(x-1)-2(3x+5)=3-1 equation: 


Simplifying
4(x + -1) + -2(3x + 5) = 3 + -1

Reorder the terms:
4(-1 + x) + -2(3x + 5) = 3 + -1
(-1 * 4 + x * 4) + -2(3x + 5) = 3 + -1
(-4 + 4x) + -2(3x + 5) = 3 + -1

Reorder the terms:
-4 + 4x + -2(5 + 3x) = 3 + -1
-4 + 4x + (5 * -2 + 3x * -2) = 3 + -1
-4 + 4x + (-10 + -6x) = 3 + -1

Reorder the terms:
-4 + -10 + 4x + -6x = 3 + -1

Combine like terms: -4 + -10 = -14
-14 + 4x + -6x = 3 + -1

Combine like terms: 4x + -6x = -2x
-14 + -2x = 3 + -1

Combine like terms: 3 + -1 = 2
-14 + -2x = 2

Solving
-14 + -2x = 2

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + -2x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = 2 + 14
-2x = 2 + 14

Combine like terms: 2 + 14 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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