5(4X-7)-(2X-5)3=-34

Solution for 5(4X-7)-(2X-5)3=-34 equation:

Simplifying
5(4X + -7) + -1(2X + -5) * 3 = -34

Reorder the terms:
5(-7 + 4X) + -1(2X + -5) * 3 = -34
(-7 * 5 + 4X * 5) + -1(2X + -5) * 3 = -34
(-35 + 20X) + -1(2X + -5) * 3 = -34

Reorder the terms:
-35 + 20X + -1(-5 + 2X) * 3 = -34

Reorder the terms for easier multiplication:
-35 + 20X + -1 * 3(-5 + 2X) = -34

Multiply -1 * 3
-35 + 20X + -3(-5 + 2X) = -34
-35 + 20X + (-5 * -3 + 2X * -3) = -34
-35 + 20X + (15 + -6X) = -34

Reorder the terms:
-35 + 15 + 20X + -6X = -34

Combine like terms: -35 + 15 = -20
-20 + 20X + -6X = -34

Combine like terms: 20X + -6X = 14X
-20 + 14X = -34

Solving
-20 + 14X = -34

Solving for variable 'X'.

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

Add '20' to each side of the equation.
-20 + 20 + 14X = -34 + 20

Combine like terms: -20 + 20 = 0
0 + 14X = -34 + 20
14X = -34 + 20

Combine like terms: -34 + 20 = -14
14X = -14

Divide each side by '14'.
X = -1

Simplifying
X = -1