4(x-1)-10(x+1)=1

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Solution for 4(x-1)-10(x+1)=1 equation: 


Simplifying
4(x + -1) + -10(x + 1) = 1

Reorder the terms:
4(-1 + x) + -10(x + 1) = 1
(-1 * 4 + x * 4) + -10(x + 1) = 1
(-4 + 4x) + -10(x + 1) = 1

Reorder the terms:
-4 + 4x + -10(1 + x) = 1
-4 + 4x + (1 * -10 + x * -10) = 1
-4 + 4x + (-10 + -10x) = 1

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

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

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

Solving
-14 + -6x = 1

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 + -6x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + -6x = 1 + 14
-6x = 1 + 14

Combine like terms: 1 + 14 = 15
-6x = 15

Divide each side by '-6'.
x = -2.5

Simplifying
x = -2.5

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