(7x-2)-(3x+8)=4x-10

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Solution for (7x-2)-(3x+8)=4x-10 equation:


Simplifying
(7x + -2) + -1(3x + 8) = 4x + -10

Reorder the terms:
(-2 + 7x) + -1(3x + 8) = 4x + -10

Remove parenthesis around (-2 + 7x)
-2 + 7x + -1(3x + 8) = 4x + -10

Reorder the terms:
-2 + 7x + -1(8 + 3x) = 4x + -10
-2 + 7x + (8 * -1 + 3x * -1) = 4x + -10
-2 + 7x + (-8 + -3x) = 4x + -10

Reorder the terms:
-2 + -8 + 7x + -3x = 4x + -10

Combine like terms: -2 + -8 = -10
-10 + 7x + -3x = 4x + -10

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

Reorder the terms:
-10 + 4x = -10 + 4x

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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