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

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


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

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

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

Combine like terms: 4x + -1x = 3x
-3 + 3x = 12 + -3(x + -2)

Reorder the terms:
-3 + 3x = 12 + -3(-2 + x)
-3 + 3x = 12 + (-2 * -3 + x * -3)
-3 + 3x = 12 + (6 + -3x)

Combine like terms: 12 + 6 = 18
-3 + 3x = 18 + -3x

Solving
-3 + 3x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-3 + 3x + 3x = 18 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-3 + 6x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 6x = 18 + 0
-3 + 6x = 18

Add '3' to each side of the equation.
-3 + 3 + 6x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 18 + 3
6x = 18 + 3

Combine like terms: 18 + 3 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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