7(4x-3)-4(3x-6)+25=3(4x+9)-43

Solution for 7(4x-3)-4(3x-6)+25=3(4x+9)-43 equation:

Simplifying
7(4x + -3) + -4(3x + -6) + 25 = 3(4x + 9) + -43

Reorder the terms:
7(-3 + 4x) + -4(3x + -6) + 25 = 3(4x + 9) + -43
(-3 * 7 + 4x * 7) + -4(3x + -6) + 25 = 3(4x + 9) + -43
(-21 + 28x) + -4(3x + -6) + 25 = 3(4x + 9) + -43

Reorder the terms:
-21 + 28x + -4(-6 + 3x) + 25 = 3(4x + 9) + -43
-21 + 28x + (-6 * -4 + 3x * -4) + 25 = 3(4x + 9) + -43
-21 + 28x + (24 + -12x) + 25 = 3(4x + 9) + -43

Reorder the terms:
-21 + 24 + 25 + 28x + -12x = 3(4x + 9) + -43

Combine like terms: -21 + 24 = 3
3 + 25 + 28x + -12x = 3(4x + 9) + -43

Combine like terms: 3 + 25 = 28
28 + 28x + -12x = 3(4x + 9) + -43

Combine like terms: 28x + -12x = 16x
28 + 16x = 3(4x + 9) + -43

Reorder the terms:
28 + 16x = 3(9 + 4x) + -43
28 + 16x = (9 * 3 + 4x * 3) + -43
28 + 16x = (27 + 12x) + -43

Reorder the terms:
28 + 16x = 27 + -43 + 12x

Combine like terms: 27 + -43 = -16
28 + 16x = -16 + 12x

Solving
28 + 16x = -16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 16x + -12x = -16 + 12x + -12x

Combine like terms: 16x + -12x = 4x
28 + 4x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + 4x = -16 + 0
28 + 4x = -16

Add '-28' to each side of the equation.
28 + -28 + 4x = -16 + -28

Combine like terms: 28 + -28 = 0
0 + 4x = -16 + -28
4x = -16 + -28

Combine like terms: -16 + -28 = -44
4x = -44

Divide each side by '4'.
x = -11

Simplifying
x = -11