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

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


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

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

Reorder the terms:
-12 + 12x + -5(4 + x) = -4
-12 + 12x + (4 * -5 + x * -5) = -4
-12 + 12x + (-20 + -5x) = -4

Reorder the terms:
-12 + -20 + 12x + -5x = -4

Combine like terms: -12 + -20 = -32
-32 + 12x + -5x = -4

Combine like terms: 12x + -5x = 7x
-32 + 7x = -4

Solving
-32 + 7x = -4

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 7x = -4 + 32

Combine like terms: -32 + 32 = 0
0 + 7x = -4 + 32
7x = -4 + 32

Combine like terms: -4 + 32 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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