16(3x+17)=-28(x-2)

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Solution for 16(3x+17)=-28(x-2) equation:


Simplifying
16(3x + 17) = -28(x + -2)

Reorder the terms:
16(17 + 3x) = -28(x + -2)
(17 * 16 + 3x * 16) = -28(x + -2)
(272 + 48x) = -28(x + -2)

Reorder the terms:
272 + 48x = -28(-2 + x)
272 + 48x = (-2 * -28 + x * -28)
272 + 48x = (56 + -28x)

Solving
272 + 48x = 56 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
272 + 48x + 28x = 56 + -28x + 28x

Combine like terms: 48x + 28x = 76x
272 + 76x = 56 + -28x + 28x

Combine like terms: -28x + 28x = 0
272 + 76x = 56 + 0
272 + 76x = 56

Add '-272' to each side of the equation.
272 + -272 + 76x = 56 + -272

Combine like terms: 272 + -272 = 0
0 + 76x = 56 + -272
76x = 56 + -272

Combine like terms: 56 + -272 = -216
76x = -216

Divide each side by '76'.
x = -2.842105263

Simplifying
x = -2.842105263

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