3x-4(x+5)=7(x-3)-4(2x-12)

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Solution for 3x-4(x+5)=7(x-3)-4(2x-12) equation:


Simplifying
3x + -4(x + 5) = 7(x + -3) + -4(2x + -12)

Reorder the terms:
3x + -4(5 + x) = 7(x + -3) + -4(2x + -12)
3x + (5 * -4 + x * -4) = 7(x + -3) + -4(2x + -12)
3x + (-20 + -4x) = 7(x + -3) + -4(2x + -12)

Reorder the terms:
-20 + 3x + -4x = 7(x + -3) + -4(2x + -12)

Combine like terms: 3x + -4x = -1x
-20 + -1x = 7(x + -3) + -4(2x + -12)

Reorder the terms:
-20 + -1x = 7(-3 + x) + -4(2x + -12)
-20 + -1x = (-3 * 7 + x * 7) + -4(2x + -12)
-20 + -1x = (-21 + 7x) + -4(2x + -12)

Reorder the terms:
-20 + -1x = -21 + 7x + -4(-12 + 2x)
-20 + -1x = -21 + 7x + (-12 * -4 + 2x * -4)
-20 + -1x = -21 + 7x + (48 + -8x)

Reorder the terms:
-20 + -1x = -21 + 48 + 7x + -8x

Combine like terms: -21 + 48 = 27
-20 + -1x = 27 + 7x + -8x

Combine like terms: 7x + -8x = -1x
-20 + -1x = 27 + -1x

Add 'x' to each side of the equation.
-20 + -1x + x = 27 + -1x + x

Combine like terms: -1x + x = 0
-20 + 0 = 27 + -1x + x
-20 = 27 + -1x + x

Combine like terms: -1x + x = 0
-20 = 27 + 0
-20 = 27

Solving
-20 = 27

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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