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

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


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

Reorder the terms:
2(-3 + x) + -3 = x + 2 + -1(x + -4)
(-3 * 2 + x * 2) + -3 = x + 2 + -1(x + -4)
(-6 + 2x) + -3 = x + 2 + -1(x + -4)

Reorder the terms:
-6 + -3 + 2x = x + 2 + -1(x + -4)

Combine like terms: -6 + -3 = -9
-9 + 2x = x + 2 + -1(x + -4)

Reorder the terms:
-9 + 2x = x + 2 + -1(-4 + x)
-9 + 2x = x + 2 + (-4 * -1 + x * -1)
-9 + 2x = x + 2 + (4 + -1x)

Reorder the terms:
-9 + 2x = 2 + 4 + x + -1x

Combine like terms: 2 + 4 = 6
-9 + 2x = 6 + x + -1x

Combine like terms: x + -1x = 0
-9 + 2x = 6 + 0
-9 + 2x = 6

Solving
-9 + 2x = 6

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 6 + 9
2x = 6 + 9

Combine like terms: 6 + 9 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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