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

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


Simplifying
-7(x + -4) = -4x + 7

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

Reorder the terms:
28 + -7x = 7 + -4x

Solving
28 + -7x = 7 + -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.
28 + -7x + 4x = 7 + -4x + 4x

Combine like terms: -7x + 4x = -3x
28 + -3x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
28 + -3x = 7 + 0
28 + -3x = 7

Add '-28' to each side of the equation.
28 + -28 + -3x = 7 + -28

Combine like terms: 28 + -28 = 0
0 + -3x = 7 + -28
-3x = 7 + -28

Combine like terms: 7 + -28 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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