4(5x-1)+3(1-7x)=x

Solution for 4(5x-1)+3(1-7x)=x equation:

Simplifying
4(5x + -1) + 3(1 + -7x) = x

Reorder the terms:
4(-1 + 5x) + 3(1 + -7x) = x
(-1 * 4 + 5x * 4) + 3(1 + -7x) = x
(-4 + 20x) + 3(1 + -7x) = x
-4 + 20x + (1 * 3 + -7x * 3) = x
-4 + 20x + (3 + -21x) = x

Reorder the terms:
-4 + 3 + 20x + -21x = x

Combine like terms: -4 + 3 = -1
-1 + 20x + -21x = x

Combine like terms: 20x + -21x = -1x
-1 + -1x = x

Solving
-1 + -1x = x

Solving for variable 'x'.

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5