4(x-6)-(2x+1)=8-2(1-6x)

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Solution for 4(x-6)-(2x+1)=8-2(1-6x) equation:


Simplifying
4(x + -6) + -1(2x + 1) = 8 + -2(1 + -6x)

Reorder the terms:
4(-6 + x) + -1(2x + 1) = 8 + -2(1 + -6x)
(-6 * 4 + x * 4) + -1(2x + 1) = 8 + -2(1 + -6x)
(-24 + 4x) + -1(2x + 1) = 8 + -2(1 + -6x)

Reorder the terms:
-24 + 4x + -1(1 + 2x) = 8 + -2(1 + -6x)
-24 + 4x + (1 * -1 + 2x * -1) = 8 + -2(1 + -6x)
-24 + 4x + (-1 + -2x) = 8 + -2(1 + -6x)

Reorder the terms:
-24 + -1 + 4x + -2x = 8 + -2(1 + -6x)

Combine like terms: -24 + -1 = -25
-25 + 4x + -2x = 8 + -2(1 + -6x)

Combine like terms: 4x + -2x = 2x
-25 + 2x = 8 + -2(1 + -6x)
-25 + 2x = 8 + (1 * -2 + -6x * -2)
-25 + 2x = 8 + (-2 + 12x)

Combine like terms: 8 + -2 = 6
-25 + 2x = 6 + 12x

Solving
-25 + 2x = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-25 + 2x + -12x = 6 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-25 + -10x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-25 + -10x = 6 + 0
-25 + -10x = 6

Add '25' to each side of the equation.
-25 + 25 + -10x = 6 + 25

Combine like terms: -25 + 25 = 0
0 + -10x = 6 + 25
-10x = 6 + 25

Combine like terms: 6 + 25 = 31
-10x = 31

Divide each side by '-10'.
x = -3.1

Simplifying
x = -3.1

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