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

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


Simplifying
4(x + -3) = -1(4 + -1x)

Reorder the terms:
4(-3 + x) = -1(4 + -1x)
(-3 * 4 + x * 4) = -1(4 + -1x)
(-12 + 4x) = -1(4 + -1x)
-12 + 4x = (4 * -1 + -1x * -1)
-12 + 4x = (-4 + 1x)

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

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 0
-12 + 3x = -4 + 0
-12 + 3x = -4

Add '12' to each side of the equation.
-12 + 12 + 3x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -4 + 12
3x = -4 + 12

Combine like terms: -4 + 12 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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