12+4(x-3)=6(5-x)

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Solution for 12+4(x-3)=6(5-x) equation:


Simplifying
12 + 4(x + -3) = 6(5 + -1x)

Reorder the terms:
12 + 4(-3 + x) = 6(5 + -1x)
12 + (-3 * 4 + x * 4) = 6(5 + -1x)
12 + (-12 + 4x) = 6(5 + -1x)

Combine like terms: 12 + -12 = 0
0 + 4x = 6(5 + -1x)
4x = 6(5 + -1x)
4x = (5 * 6 + -1x * 6)
4x = (30 + -6x)

Solving
4x = 30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
4x + 6x = 30 + -6x + 6x

Combine like terms: 4x + 6x = 10x
10x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
10x = 30 + 0
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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