4(3x-4)=50-3(-7x-2)

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Solution for 4(3x-4)=50-3(-7x-2) equation:


Simplifying
4(3x + -4) = 50 + -3(-7x + -2)

Reorder the terms:
4(-4 + 3x) = 50 + -3(-7x + -2)
(-4 * 4 + 3x * 4) = 50 + -3(-7x + -2)
(-16 + 12x) = 50 + -3(-7x + -2)

Reorder the terms:
-16 + 12x = 50 + -3(-2 + -7x)
-16 + 12x = 50 + (-2 * -3 + -7x * -3)
-16 + 12x = 50 + (6 + 21x)

Combine like terms: 50 + 6 = 56
-16 + 12x = 56 + 21x

Solving
-16 + 12x = 56 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-16 + 12x + -21x = 56 + 21x + -21x

Combine like terms: 12x + -21x = -9x
-16 + -9x = 56 + 21x + -21x

Combine like terms: 21x + -21x = 0
-16 + -9x = 56 + 0
-16 + -9x = 56

Add '16' to each side of the equation.
-16 + 16 + -9x = 56 + 16

Combine like terms: -16 + 16 = 0
0 + -9x = 56 + 16
-9x = 56 + 16

Combine like terms: 56 + 16 = 72
-9x = 72

Divide each side by '-9'.
x = -8

Simplifying
x = -8

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