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

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


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

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

Reorder the terms:
-12 + 3 + 3x = x + -2

Combine like terms: -12 + 3 = -9
-9 + 3x = x + -2

Reorder the terms:
-9 + 3x = -2 + x

Solving
-9 + 3x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 3x + -1x = -2 + x + -1x

Combine like terms: 3x + -1x = 2x
-9 + 2x = -2 + x + -1x

Combine like terms: x + -1x = 0
-9 + 2x = -2 + 0
-9 + 2x = -2

Add '9' to each side of the equation.
-9 + 9 + 2x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -2 + 9
2x = -2 + 9

Combine like terms: -2 + 9 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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