x+(3x-5)-(4x-7)=2

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Solution for x+(3x-5)-(4x-7)=2 equation:


Simplifying
x + (3x + -5) + -1(4x + -7) = 2

Reorder the terms:
x + (-5 + 3x) + -1(4x + -7) = 2

Remove parenthesis around (-5 + 3x)
x + -5 + 3x + -1(4x + -7) = 2

Reorder the terms:
x + -5 + 3x + -1(-7 + 4x) = 2
x + -5 + 3x + (-7 * -1 + 4x * -1) = 2
x + -5 + 3x + (7 + -4x) = 2

Reorder the terms:
-5 + 7 + x + 3x + -4x = 2

Combine like terms: -5 + 7 = 2
2 + x + 3x + -4x = 2

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

Combine like terms: 4x + -4x = 0
2 + 0 = 2
2 = 2

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

Combine like terms: 2 + -2 = 0
0 = 2 + -2

Combine like terms: 2 + -2 = 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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