4(4x-28)=2(x+14)

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Solution for 4(4x-28)=2(x+14) equation:


Simplifying
4(4x + -28) = 2(x + 14)

Reorder the terms:
4(-28 + 4x) = 2(x + 14)
(-28 * 4 + 4x * 4) = 2(x + 14)
(-112 + 16x) = 2(x + 14)

Reorder the terms:
-112 + 16x = 2(14 + x)
-112 + 16x = (14 * 2 + x * 2)
-112 + 16x = (28 + 2x)

Solving
-112 + 16x = 28 + 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.
-112 + 16x + -2x = 28 + 2x + -2x

Combine like terms: 16x + -2x = 14x
-112 + 14x = 28 + 2x + -2x

Combine like terms: 2x + -2x = 0
-112 + 14x = 28 + 0
-112 + 14x = 28

Add '112' to each side of the equation.
-112 + 112 + 14x = 28 + 112

Combine like terms: -112 + 112 = 0
0 + 14x = 28 + 112
14x = 28 + 112

Combine like terms: 28 + 112 = 140
14x = 140

Divide each side by '14'.
x = 10

Simplifying
x = 10

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