(x-7)-(2x-3)=10

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Solution for (x-7)-(2x-3)=10 equation:


Simplifying
(x + -7) + -1(2x + -3) = 10

Reorder the terms:
(-7 + x) + -1(2x + -3) = 10

Remove parenthesis around (-7 + x)
-7 + x + -1(2x + -3) = 10

Reorder the terms:
-7 + x + -1(-3 + 2x) = 10
-7 + x + (-3 * -1 + 2x * -1) = 10
-7 + x + (3 + -2x) = 10

Reorder the terms:
-7 + 3 + x + -2x = 10

Combine like terms: -7 + 3 = -4
-4 + x + -2x = 10

Combine like terms: x + -2x = -1x
-4 + -1x = 10

Solving
-4 + -1x = 10

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 10 + 4
-1x = 10 + 4

Combine like terms: 10 + 4 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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