4-7(3x-1)=-4x+28

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Solution for 4-7(3x-1)=-4x+28 equation:


Simplifying
4 + -7(3x + -1) = -4x + 28

Reorder the terms:
4 + -7(-1 + 3x) = -4x + 28
4 + (-1 * -7 + 3x * -7) = -4x + 28
4 + (7 + -21x) = -4x + 28

Combine like terms: 4 + 7 = 11
11 + -21x = -4x + 28

Reorder the terms:
11 + -21x = 28 + -4x

Solving
11 + -21x = 28 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
11 + -21x + 4x = 28 + -4x + 4x

Combine like terms: -21x + 4x = -17x
11 + -17x = 28 + -4x + 4x

Combine like terms: -4x + 4x = 0
11 + -17x = 28 + 0
11 + -17x = 28

Add '-11' to each side of the equation.
11 + -11 + -17x = 28 + -11

Combine like terms: 11 + -11 = 0
0 + -17x = 28 + -11
-17x = 28 + -11

Combine like terms: 28 + -11 = 17
-17x = 17

Divide each side by '-17'.
x = -1

Simplifying
x = -1

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