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

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

Simplifying
2(3 + -1x) = 5(4x + -7)
(3 * 2 + -1x * 2) = 5(4x + -7)
(6 + -2x) = 5(4x + -7)

Reorder the terms:
6 + -2x = 5(-7 + 4x)
6 + -2x = (-7 * 5 + 4x * 5)
6 + -2x = (-35 + 20x)

Solving
6 + -2x = -35 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
6 + -2x + -20x = -35 + 20x + -20x

Combine like terms: -2x + -20x = -22x
6 + -22x = -35 + 20x + -20x

Combine like terms: 20x + -20x = 0
6 + -22x = -35 + 0
6 + -22x = -35

Add '-6' to each side of the equation.
6 + -6 + -22x = -35 + -6

Combine like terms: 6 + -6 = 0
0 + -22x = -35 + -6
-22x = -35 + -6

Combine like terms: -35 + -6 = -41
-22x = -41

Divide each side by '-22'.
x = 1.863636364

Simplifying
x = 1.863636364