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

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


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

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

Reorder the terms:
-28 + 4x = 2(7 + x)
-28 + 4x = (7 * 2 + x * 2)
-28 + 4x = (14 + 2x)

Solving
-28 + 4x = 14 + 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 = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-28 + 2x = 14 + 2x + -2x

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

Add '28' to each side of the equation.
-28 + 28 + 2x = 14 + 28

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

Combine like terms: 14 + 28 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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