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

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

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

Reorder the terms:
-2(-3 + 7x) = 5(4 + -3x)
(-3 * -2 + 7x * -2) = 5(4 + -3x)
(6 + -14x) = 5(4 + -3x)
6 + -14x = (4 * 5 + -3x * 5)
6 + -14x = (20 + -15x)

Solving
6 + -14x = 20 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
6 + -14x + 15x = 20 + -15x + 15x

Combine like terms: -14x + 15x = 1x
6 + 1x = 20 + -15x + 15x

Combine like terms: -15x + 15x = 0
6 + 1x = 20 + 0
6 + 1x = 20

Add '-6' to each side of the equation.
6 + -6 + 1x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 20 + -6
1x = 20 + -6

Combine like terms: 20 + -6 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14