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

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


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

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

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

Combine like terms: -12 + -4 = -16
-16 + 3x = x + 3 + -1(x + -2)

Reorder the terms:
-16 + 3x = x + 3 + -1(-2 + x)
-16 + 3x = x + 3 + (-2 * -1 + x * -1)
-16 + 3x = x + 3 + (2 + -1x)

Reorder the terms:
-16 + 3x = 3 + 2 + x + -1x

Combine like terms: 3 + 2 = 5
-16 + 3x = 5 + x + -1x

Combine like terms: x + -1x = 0
-16 + 3x = 5 + 0
-16 + 3x = 5

Solving
-16 + 3x = 5

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 3x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 5 + 16
3x = 5 + 16

Combine like terms: 5 + 16 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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