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

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


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

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

Remove parenthesis around (5 + -1x)
12 + 4x = 5 + -1x + -3(x + -3)

Reorder the terms:
12 + 4x = 5 + -1x + -3(-3 + x)
12 + 4x = 5 + -1x + (-3 * -3 + x * -3)
12 + 4x = 5 + -1x + (9 + -3x)

Reorder the terms:
12 + 4x = 5 + 9 + -1x + -3x

Combine like terms: 5 + 9 = 14
12 + 4x = 14 + -1x + -3x

Combine like terms: -1x + -3x = -4x
12 + 4x = 14 + -4x

Solving
12 + 4x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + 4x + 4x = 14 + -4x + 4x

Combine like terms: 4x + 4x = 8x
12 + 8x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + 8x = 14 + 0
12 + 8x = 14

Add '-12' to each side of the equation.
12 + -12 + 8x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = 14 + -12
8x = 14 + -12

Combine like terms: 14 + -12 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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