-7(5x+1)+8(1+2x)=-75

Solution for -7(5x+1)+8(1+2x)=-75 equation:

Simplifying
-7(5x + 1) + 8(1 + 2x) = -75

Reorder the terms:
-7(1 + 5x) + 8(1 + 2x) = -75
(1 * -7 + 5x * -7) + 8(1 + 2x) = -75
(-7 + -35x) + 8(1 + 2x) = -75
-7 + -35x + (1 * 8 + 2x * 8) = -75
-7 + -35x + (8 + 16x) = -75

Reorder the terms:
-7 + 8 + -35x + 16x = -75

Combine like terms: -7 + 8 = 1
1 + -35x + 16x = -75

Combine like terms: -35x + 16x = -19x
1 + -19x = -75

Solving
1 + -19x = -75

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 + -19x = -75 + -1

Combine like terms: 1 + -1 = 0
0 + -19x = -75 + -1
-19x = -75 + -1

Combine like terms: -75 + -1 = -76
-19x = -76

Divide each side by '-19'.
x = 4

Simplifying
x = 4