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)
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 = -90
-18x = -90

Divide each side by '-18'.
x = 5

Simplifying
x = 5