3(x-3)+5x+16=4(3x-5)-2(2x+1)

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Solution for 3(x-3)+5x+16=4(3x-5)-2(2x+1) equation:


Simplifying
3(x + -3) + 5x + 16 = 4(3x + -5) + -2(2x + 1)

Reorder the terms:
3(-3 + x) + 5x + 16 = 4(3x + -5) + -2(2x + 1)
(-3 * 3 + x * 3) + 5x + 16 = 4(3x + -5) + -2(2x + 1)
(-9 + 3x) + 5x + 16 = 4(3x + -5) + -2(2x + 1)

Reorder the terms:
-9 + 16 + 3x + 5x = 4(3x + -5) + -2(2x + 1)

Combine like terms: -9 + 16 = 7
7 + 3x + 5x = 4(3x + -5) + -2(2x + 1)

Combine like terms: 3x + 5x = 8x
7 + 8x = 4(3x + -5) + -2(2x + 1)

Reorder the terms:
7 + 8x = 4(-5 + 3x) + -2(2x + 1)
7 + 8x = (-5 * 4 + 3x * 4) + -2(2x + 1)
7 + 8x = (-20 + 12x) + -2(2x + 1)

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

Reorder the terms:
7 + 8x = -20 + -2 + 12x + -4x

Combine like terms: -20 + -2 = -22
7 + 8x = -22 + 12x + -4x

Combine like terms: 12x + -4x = 8x
7 + 8x = -22 + 8x

Add '-8x' to each side of the equation.
7 + 8x + -8x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 0 = -22 + 8x + -8x
7 = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 = -22 + 0
7 = -22

Solving
7 = -22

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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