3(2x-3)-4(7-2x)=-30

Solution for 3(2x-3)-4(7-2x)=-30 equation:

Simplifying
3(2x + -3) + -4(7 + -2x) = -30

Reorder the terms:
3(-3 + 2x) + -4(7 + -2x) = -30
(-3 * 3 + 2x * 3) + -4(7 + -2x) = -30
(-9 + 6x) + -4(7 + -2x) = -30
-9 + 6x + (7 * -4 + -2x * -4) = -30
-9 + 6x + (-28 + 8x) = -30

Reorder the terms:
-9 + -28 + 6x + 8x = -30

Combine like terms: -9 + -28 = -37
-37 + 6x + 8x = -30

Combine like terms: 6x + 8x = 14x
-37 + 14x = -30

Solving
-37 + 14x = -30

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 14x = -30 + 37

Combine like terms: -37 + 37 = 0
0 + 14x = -30 + 37
14x = -30 + 37

Combine like terms: -30 + 37 = 7
14x = 7

Divide each side by '14'.
x = 0.5

Simplifying
x = 0.5