5(4x+1)-3(7x+2)=

Solution for 5(4x+1)-3(7x+2)= equation:

Simplifying
5(4x + 1) + -3(7x + 2) = 0

Reorder the terms:
5(1 + 4x) + -3(7x + 2) = 0
(1 * 5 + 4x * 5) + -3(7x + 2) = 0
(5 + 20x) + -3(7x + 2) = 0

Reorder the terms:
5 + 20x + -3(2 + 7x) = 0
5 + 20x + (2 * -3 + 7x * -3) = 0
5 + 20x + (-6 + -21x) = 0

Reorder the terms:
5 + -6 + 20x + -21x = 0

Combine like terms: 5 + -6 = -1
-1 + 20x + -21x = 0

Combine like terms: 20x + -21x = -1x
-1 + -1x = 0

Solving
-1 + -1x = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1