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

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Solution for 3(x-1)-(x+4)=2x-7 equation: 


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

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

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

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

Combine like terms: -3 + -4 = -7
-7 + 3x + -1x = 2x + -7

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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 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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