4(x-7)=2x-16

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Solution for 4(x-7)=2x-16 equation:


Simplifying
4(x + -7) = 2x + -16

Reorder the terms:
4(-7 + x) = 2x + -16
(-7 * 4 + x * 4) = 2x + -16
(-28 + 4x) = 2x + -16

Reorder the terms:
-28 + 4x = -16 + 2x

Solving
-28 + 4x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-28 + 4x + -2x = -16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-28 + 2x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 2x = -16 + 0
-28 + 2x = -16

Add '28' to each side of the equation.
-28 + 28 + 2x = -16 + 28

Combine like terms: -28 + 28 = 0
0 + 2x = -16 + 28
2x = -16 + 28

Combine like terms: -16 + 28 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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