7(x-4)=4x-16

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Solution for 7(x-4)=4x-16 equation:


Simplifying
7(x + -4) = 4x + -16

Reorder the terms:
7(-4 + x) = 4x + -16
(-4 * 7 + x * 7) = 4x + -16
(-28 + 7x) = 4x + -16

Reorder the terms:
-28 + 7x = -16 + 4x

Solving
-28 + 7x = -16 + 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 = -16 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-28 + 3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-28 + 3x = -16 + 0
-28 + 3x = -16

Add '28' to each side of the equation.
-28 + 28 + 3x = -16 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -16 + 28
3x = -16 + 28

Combine like terms: -16 + 28 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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