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

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

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

Reorder the terms:
-4(-2 + 5x) + 3(7x + -3) + -5 = 4 + -7
(-2 * -4 + 5x * -4) + 3(7x + -3) + -5 = 4 + -7
(8 + -20x) + 3(7x + -3) + -5 = 4 + -7

Reorder the terms:
8 + -20x + 3(-3 + 7x) + -5 = 4 + -7
8 + -20x + (-3 * 3 + 7x * 3) + -5 = 4 + -7
8 + -20x + (-9 + 21x) + -5 = 4 + -7

Reorder the terms:
8 + -9 + -5 + -20x + 21x = 4 + -7

Combine like terms: 8 + -9 = -1
-1 + -5 + -20x + 21x = 4 + -7

Combine like terms: -1 + -5 = -6
-6 + -20x + 21x = 4 + -7

Combine like terms: -20x + 21x = 1x
-6 + 1x = 4 + -7

Combine like terms: 4 + -7 = -3
-6 + 1x = -3

Solving
-6 + 1x = -3

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 1x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -3 + 6
1x = -3 + 6

Combine like terms: -3 + 6 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3