4(x-7)=2(10-x)

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Solution for 4(x-7)=2(10-x) equation:


Simplifying
4(x + -7) = 2(10 + -1x)

Reorder the terms:
4(-7 + x) = 2(10 + -1x)
(-7 * 4 + x * 4) = 2(10 + -1x)
(-28 + 4x) = 2(10 + -1x)
-28 + 4x = (10 * 2 + -1x * 2)
-28 + 4x = (20 + -2x)

Solving
-28 + 4x = 20 + -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 = 20 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-28 + 6x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
-28 + 6x = 20 + 0
-28 + 6x = 20

Add '28' to each side of the equation.
-28 + 28 + 6x = 20 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = 20 + 28
6x = 20 + 28

Combine like terms: 20 + 28 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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