3(x+7)+10=7x-4(x-5)

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Solution for 3(x+7)+10=7x-4(x-5) equation:


Simplifying
3(x + 7) + 10 = 7x + -4(x + -5)

Reorder the terms:
3(7 + x) + 10 = 7x + -4(x + -5)
(7 * 3 + x * 3) + 10 = 7x + -4(x + -5)
(21 + 3x) + 10 = 7x + -4(x + -5)

Reorder the terms:
21 + 10 + 3x = 7x + -4(x + -5)

Combine like terms: 21 + 10 = 31
31 + 3x = 7x + -4(x + -5)

Reorder the terms:
31 + 3x = 7x + -4(-5 + x)
31 + 3x = 7x + (-5 * -4 + x * -4)
31 + 3x = 7x + (20 + -4x)

Reorder the terms:
31 + 3x = 20 + 7x + -4x

Combine like terms: 7x + -4x = 3x
31 + 3x = 20 + 3x

Add '-3x' to each side of the equation.
31 + 3x + -3x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
31 + 0 = 20 + 3x + -3x
31 = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
31 = 20 + 0
31 = 20

Solving
31 = 20

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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