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 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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