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

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


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

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

Reorder the terms:
24 + 4x = 3(-7 + x) + x
24 + 4x = (-7 * 3 + x * 3) + x
24 + 4x = (-21 + 3x) + x

Combine like terms: 3x + x = 4x
24 + 4x = -21 + 4x

Add '-4x' to each side of the equation.
24 + 4x + -4x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 0 = -21 + 4x + -4x
24 = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 = -21 + 0
24 = -21

Solving
24 = -21

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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