4(7x-26)=5-1(x+5)

Solution for 4(7x-26)=5-1(x+5) equation:

Simplifying
4(7x + -26) = 5 + -1(x + 5)

Reorder the terms:
4(-26 + 7x) = 5 + -1(x + 5)
(-26 * 4 + 7x * 4) = 5 + -1(x + 5)
(-104 + 28x) = 5 + -1(x + 5)

Reorder the terms:
-104 + 28x = 5 + -1(5 + x)
-104 + 28x = 5 + (5 * -1 + x * -1)
-104 + 28x = 5 + (-5 + -1x)

Combine like terms: 5 + -5 = 0
-104 + 28x = 0 + -1x
-104 + 28x = -1x

Solving
-104 + 28x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-104 + 28x + x = -1x + x

Combine like terms: 28x + x = 29x
-104 + 29x = -1x + x

Combine like terms: -1x + x = 0
-104 + 29x = 0

Add '104' to each side of the equation.
-104 + 104 + 29x = 0 + 104

Combine like terms: -104 + 104 = 0
0 + 29x = 0 + 104
29x = 0 + 104

Combine like terms: 0 + 104 = 104
29x = 104

Divide each side by '29'.
x = 3.586206897

Simplifying
x = 3.586206897