2(x-3)-(x-3)=7

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Solution for 2(x-3)-(x-3)=7 equation:


Simplifying
2(x + -3) + -1(x + -3) = 7

Reorder the terms:
2(-3 + x) + -1(x + -3) = 7
(-3 * 2 + x * 2) + -1(x + -3) = 7
(-6 + 2x) + -1(x + -3) = 7

Reorder the terms:
-6 + 2x + -1(-3 + x) = 7
-6 + 2x + (-3 * -1 + x * -1) = 7
-6 + 2x + (3 + -1x) = 7

Reorder the terms:
-6 + 3 + 2x + -1x = 7

Combine like terms: -6 + 3 = -3
-3 + 2x + -1x = 7

Combine like terms: 2x + -1x = 1x
-3 + 1x = 7

Solving
-3 + 1x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 7 + 3
1x = 7 + 3

Combine like terms: 7 + 3 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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