7(x+1)+2(x-3)=6x+3(x-12)

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Solution for 7(x+1)+2(x-3)=6x+3(x-12) equation:


Simplifying
7(x + 1) + 2(x + -3) = 6x + 3(x + -12)

Reorder the terms:
7(1 + x) + 2(x + -3) = 6x + 3(x + -12)
(1 * 7 + x * 7) + 2(x + -3) = 6x + 3(x + -12)
(7 + 7x) + 2(x + -3) = 6x + 3(x + -12)

Reorder the terms:
7 + 7x + 2(-3 + x) = 6x + 3(x + -12)
7 + 7x + (-3 * 2 + x * 2) = 6x + 3(x + -12)
7 + 7x + (-6 + 2x) = 6x + 3(x + -12)

Reorder the terms:
7 + -6 + 7x + 2x = 6x + 3(x + -12)

Combine like terms: 7 + -6 = 1
1 + 7x + 2x = 6x + 3(x + -12)

Combine like terms: 7x + 2x = 9x
1 + 9x = 6x + 3(x + -12)

Reorder the terms:
1 + 9x = 6x + 3(-12 + x)
1 + 9x = 6x + (-12 * 3 + x * 3)
1 + 9x = 6x + (-36 + 3x)

Reorder the terms:
1 + 9x = -36 + 6x + 3x

Combine like terms: 6x + 3x = 9x
1 + 9x = -36 + 9x

Add '-9x' to each side of the equation.
1 + 9x + -9x = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 + 0 = -36 + 9x + -9x
1 = -36 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 = -36 + 0
1 = -36

Solving
1 = -36

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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