4(x+3)=12(2-x)

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Solution for 4(x+3)=12(2-x) equation:


Simplifying
4(x + 3) = 12(2 + -1x)

Reorder the terms:
4(3 + x) = 12(2 + -1x)
(3 * 4 + x * 4) = 12(2 + -1x)
(12 + 4x) = 12(2 + -1x)
12 + 4x = (2 * 12 + -1x * 12)
12 + 4x = (24 + -12x)

Solving
12 + 4x = 24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
12 + 4x + 12x = 24 + -12x + 12x

Combine like terms: 4x + 12x = 16x
12 + 16x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
12 + 16x = 24 + 0
12 + 16x = 24

Add '-12' to each side of the equation.
12 + -12 + 16x = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = 24 + -12
16x = 24 + -12

Combine like terms: 24 + -12 = 12
16x = 12

Divide each side by '16'.
x = 0.75

Simplifying
x = 0.75

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