4(x+6)+7=7x-3(x-5)

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Solution for 4(x+6)+7=7x-3(x-5) equation: 


Simplifying
4(x + 6) + 7 = 7x + -3(x + -5)

Reorder the terms:
4(6 + x) + 7 = 7x + -3(x + -5)
(6 * 4 + x * 4) + 7 = 7x + -3(x + -5)
(24 + 4x) + 7 = 7x + -3(x + -5)

Reorder the terms:
24 + 7 + 4x = 7x + -3(x + -5)

Combine like terms: 24 + 7 = 31
31 + 4x = 7x + -3(x + -5)

Reorder the terms:
31 + 4x = 7x + -3(-5 + x)
31 + 4x = 7x + (-5 * -3 + x * -3)
31 + 4x = 7x + (15 + -3x)

Reorder the terms:
31 + 4x = 15 + 7x + -3x

Combine like terms: 7x + -3x = 4x
31 + 4x = 15 + 4x

Add '-4x' to each side of the equation.
31 + 4x + -4x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
31 + 0 = 15 + 4x + -4x
31 = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
31 = 15 + 0
31 = 15

Solving
31 = 15

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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