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

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


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

Reorder the terms:
2(-3 + x) + 5(3 + -2x) = 4(2x + 1) + -16x
(-3 * 2 + x * 2) + 5(3 + -2x) = 4(2x + 1) + -16x
(-6 + 2x) + 5(3 + -2x) = 4(2x + 1) + -16x
-6 + 2x + (3 * 5 + -2x * 5) = 4(2x + 1) + -16x
-6 + 2x + (15 + -10x) = 4(2x + 1) + -16x

Reorder the terms:
-6 + 15 + 2x + -10x = 4(2x + 1) + -16x

Combine like terms: -6 + 15 = 9
9 + 2x + -10x = 4(2x + 1) + -16x

Combine like terms: 2x + -10x = -8x
9 + -8x = 4(2x + 1) + -16x

Reorder the terms:
9 + -8x = 4(1 + 2x) + -16x
9 + -8x = (1 * 4 + 2x * 4) + -16x
9 + -8x = (4 + 8x) + -16x

Combine like terms: 8x + -16x = -8x
9 + -8x = 4 + -8x

Add '8x' to each side of the equation.
9 + -8x + 8x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 0 = 4 + -8x + 8x
9 = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 = 4 + 0
9 = 4

Solving
9 = 4

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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