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

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


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

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

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

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

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

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

Solving
-10 + 3x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 3x + -2x = -7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 1x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 1x = -7 + 0
-10 + 1x = -7

Add '10' to each side of the equation.
-10 + 10 + 1x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -7 + 10
1x = -7 + 10

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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