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

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


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

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

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

Reorder the terms:
-12 + -12 + 12x + -15x = 7x + -1(5x + -4)

Combine like terms: -12 + -12 = -24
-24 + 12x + -15x = 7x + -1(5x + -4)

Combine like terms: 12x + -15x = -3x
-24 + -3x = 7x + -1(5x + -4)

Reorder the terms:
-24 + -3x = 7x + -1(-4 + 5x)
-24 + -3x = 7x + (-4 * -1 + 5x * -1)
-24 + -3x = 7x + (4 + -5x)

Reorder the terms:
-24 + -3x = 4 + 7x + -5x

Combine like terms: 7x + -5x = 2x
-24 + -3x = 4 + 2x

Solving
-24 + -3x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-24 + -3x + -2x = 4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-24 + -5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + -5x = 4 + 0
-24 + -5x = 4

Add '24' to each side of the equation.
-24 + 24 + -5x = 4 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = 4 + 24
-5x = 4 + 24

Combine like terms: 4 + 24 = 28
-5x = 28

Divide each side by '-5'.
x = -5.6

Simplifying
x = -5.6

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