1(6x+1)=4(x-5)-2

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Solution for 1(6x+1)=4(x-5)-2 equation:


Simplifying
1(6x + 1) = 4(x + -5) + -2

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

Reorder the terms:
1 + 6x = 4(-5 + x) + -2
1 + 6x = (-5 * 4 + x * 4) + -2
1 + 6x = (-20 + 4x) + -2

Reorder the terms:
1 + 6x = -20 + -2 + 4x

Combine like terms: -20 + -2 = -22
1 + 6x = -22 + 4x

Solving
1 + 6x = -22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 6x + -4x = -22 + 4x + -4x

Combine like terms: 6x + -4x = 2x
1 + 2x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 2x = -22 + 0
1 + 2x = -22

Add '-1' to each side of the equation.
1 + -1 + 2x = -22 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = -22 + -1
2x = -22 + -1

Combine like terms: -22 + -1 = -23
2x = -23

Divide each side by '2'.
x = -11.5

Simplifying
x = -11.5

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