2(5x+3)-4(7x+1)=88

Solution for 2(5x+3)-4(7x+1)=88 equation:

Simplifying
2(5x + 3) + -4(7x + 1) = 88

Reorder the terms:
2(3 + 5x) + -4(7x + 1) = 88
(3 * 2 + 5x * 2) + -4(7x + 1) = 88
(6 + 10x) + -4(7x + 1) = 88

Reorder the terms:
6 + 10x + -4(1 + 7x) = 88
6 + 10x + (1 * -4 + 7x * -4) = 88
6 + 10x + (-4 + -28x) = 88

Reorder the terms:
6 + -4 + 10x + -28x = 88

Combine like terms: 6 + -4 = 2
2 + 10x + -28x = 88

Combine like terms: 10x + -28x = -18x
2 + -18x = 88

Solving
2 + -18x = 88

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -18x = 88 + -2

Combine like terms: 2 + -2 = 0
0 + -18x = 88 + -2
-18x = 88 + -2

Combine like terms: 88 + -2 = 86
-18x = 86

Divide each side by '-18'.
x = -4.777777778

Simplifying
x = -4.777777778