6(-2x-3)+430=5(3x-4)+5x

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Solution for 6(-2x-3)+430=5(3x-4)+5x equation:


Simplifying
6(-2x + -3) + 430 = 5(3x + -4) + 5x

Reorder the terms:
6(-3 + -2x) + 430 = 5(3x + -4) + 5x
(-3 * 6 + -2x * 6) + 430 = 5(3x + -4) + 5x
(-18 + -12x) + 430 = 5(3x + -4) + 5x

Reorder the terms:
-18 + 430 + -12x = 5(3x + -4) + 5x

Combine like terms: -18 + 430 = 412
412 + -12x = 5(3x + -4) + 5x

Reorder the terms:
412 + -12x = 5(-4 + 3x) + 5x
412 + -12x = (-4 * 5 + 3x * 5) + 5x
412 + -12x = (-20 + 15x) + 5x

Combine like terms: 15x + 5x = 20x
412 + -12x = -20 + 20x

Solving
412 + -12x = -20 + 20x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20x' to each side of the equation.
412 + -12x + -20x = -20 + 20x + -20x

Combine like terms: -12x + -20x = -32x
412 + -32x = -20 + 20x + -20x

Combine like terms: 20x + -20x = 0
412 + -32x = -20 + 0
412 + -32x = -20

Add '-412' to each side of the equation.
412 + -412 + -32x = -20 + -412

Combine like terms: 412 + -412 = 0
0 + -32x = -20 + -412
-32x = -20 + -412

Combine like terms: -20 + -412 = -432
-32x = -432

Divide each side by '-32'.
x = 13.5

Simplifying
x = 13.5

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