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

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


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

Reorder the terms:
3(-7 + x) + -4(x + -3) = 5 + -1(x + 3)
(-7 * 3 + x * 3) + -4(x + -3) = 5 + -1(x + 3)
(-21 + 3x) + -4(x + -3) = 5 + -1(x + 3)

Reorder the terms:
-21 + 3x + -4(-3 + x) = 5 + -1(x + 3)
-21 + 3x + (-3 * -4 + x * -4) = 5 + -1(x + 3)
-21 + 3x + (12 + -4x) = 5 + -1(x + 3)

Reorder the terms:
-21 + 12 + 3x + -4x = 5 + -1(x + 3)

Combine like terms: -21 + 12 = -9
-9 + 3x + -4x = 5 + -1(x + 3)

Combine like terms: 3x + -4x = -1x
-9 + -1x = 5 + -1(x + 3)

Reorder the terms:
-9 + -1x = 5 + -1(3 + x)
-9 + -1x = 5 + (3 * -1 + x * -1)
-9 + -1x = 5 + (-3 + -1x)

Combine like terms: 5 + -3 = 2
-9 + -1x = 2 + -1x

Add 'x' to each side of the equation.
-9 + -1x + x = 2 + -1x + x

Combine like terms: -1x + x = 0
-9 + 0 = 2 + -1x + x
-9 = 2 + -1x + x

Combine like terms: -1x + x = 0
-9 = 2 + 0
-9 = 2

Solving
-9 = 2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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