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 = 6x
-28 + 6x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + 6x = 16 + 0
-28 + 6x = 16

Add '28' to each side of the equation.
-28 + 28 + 6x = 16 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = 16 + 28
6x = 16 + 28

Combine like terms: 16 + 28 = 44
6x = 44

Divide each side by '6'.
x = 7.333333333

Simplifying
x = 7.333333333

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