x-3(4-x)=28-x

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Solution for x-3(4-x)=28-x equation:


Simplifying
x + -3(4 + -1x) = 28 + -1x
x + (4 * -3 + -1x * -3) = 28 + -1x
x + (-12 + 3x) = 28 + -1x

Reorder the terms:
-12 + x + 3x = 28 + -1x

Combine like terms: x + 3x = 4x
-12 + 4x = 28 + -1x

Solving
-12 + 4x = 28 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-12 + 4x + x = 28 + -1x + x

Combine like terms: 4x + x = 5x
-12 + 5x = 28 + -1x + x

Combine like terms: -1x + x = 0
-12 + 5x = 28 + 0
-12 + 5x = 28

Add '12' to each side of the equation.
-12 + 12 + 5x = 28 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 28 + 12
5x = 28 + 12

Combine like terms: 28 + 12 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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