(5x-4)*3-(4-3x)*5=7x+(3x-4)*7

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

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

Reorder the terms:
(-4 + 5x) * 3 + -1(4 + -3x) * 5 = 7x + (3x + -4) * 7

Reorder the terms for easier multiplication:
3(-4 + 5x) + -1(4 + -3x) * 5 = 7x + (3x + -4) * 7
(-4 * 3 + 5x * 3) + -1(4 + -3x) * 5 = 7x + (3x + -4) * 7
(-12 + 15x) + -1(4 + -3x) * 5 = 7x + (3x + -4) * 7

Reorder the terms for easier multiplication:
-12 + 15x + -1 * 5(4 + -3x) = 7x + (3x + -4) * 7

Multiply -1 * 5
-12 + 15x + -5(4 + -3x) = 7x + (3x + -4) * 7
-12 + 15x + (4 * -5 + -3x * -5) = 7x + (3x + -4) * 7
-12 + 15x + (-20 + 15x) = 7x + (3x + -4) * 7

Reorder the terms:
-12 + -20 + 15x + 15x = 7x + (3x + -4) * 7

Combine like terms: -12 + -20 = -32
-32 + 15x + 15x = 7x + (3x + -4) * 7

Combine like terms: 15x + 15x = 30x
-32 + 30x = 7x + (3x + -4) * 7

Reorder the terms:
-32 + 30x = 7x + (-4 + 3x) * 7

Reorder the terms for easier multiplication:
-32 + 30x = 7x + 7(-4 + 3x)
-32 + 30x = 7x + (-4 * 7 + 3x * 7)
-32 + 30x = 7x + (-28 + 21x)

Reorder the terms:
-32 + 30x = -28 + 7x + 21x

Combine like terms: 7x + 21x = 28x
-32 + 30x = -28 + 28x

Solving
-32 + 30x = -28 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-32 + 30x + -28x = -28 + 28x + -28x

Combine like terms: 30x + -28x = 2x
-32 + 2x = -28 + 28x + -28x

Combine like terms: 28x + -28x = 0
-32 + 2x = -28 + 0
-32 + 2x = -28

Add '32' to each side of the equation.
-32 + 32 + 2x = -28 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = -28 + 32
2x = -28 + 32

Combine like terms: -28 + 32 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2