5(x+1)+16(2x+3)=3(2x-7)-x

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Solution for 5(x+1)+16(2x+3)=3(2x-7)-x equation:


Simplifying
5(x + 1) + 16(2x + 3) = 3(2x + -7) + -1x

Reorder the terms:
5(1 + x) + 16(2x + 3) = 3(2x + -7) + -1x
(1 * 5 + x * 5) + 16(2x + 3) = 3(2x + -7) + -1x
(5 + 5x) + 16(2x + 3) = 3(2x + -7) + -1x

Reorder the terms:
5 + 5x + 16(3 + 2x) = 3(2x + -7) + -1x
5 + 5x + (3 * 16 + 2x * 16) = 3(2x + -7) + -1x
5 + 5x + (48 + 32x) = 3(2x + -7) + -1x

Reorder the terms:
5 + 48 + 5x + 32x = 3(2x + -7) + -1x

Combine like terms: 5 + 48 = 53
53 + 5x + 32x = 3(2x + -7) + -1x

Combine like terms: 5x + 32x = 37x
53 + 37x = 3(2x + -7) + -1x

Reorder the terms:
53 + 37x = 3(-7 + 2x) + -1x
53 + 37x = (-7 * 3 + 2x * 3) + -1x
53 + 37x = (-21 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
53 + 37x = -21 + 5x

Solving
53 + 37x = -21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
53 + 37x + -5x = -21 + 5x + -5x

Combine like terms: 37x + -5x = 32x
53 + 32x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
53 + 32x = -21 + 0
53 + 32x = -21

Add '-53' to each side of the equation.
53 + -53 + 32x = -21 + -53

Combine like terms: 53 + -53 = 0
0 + 32x = -21 + -53
32x = -21 + -53

Combine like terms: -21 + -53 = -74
32x = -74

Divide each side by '32'.
x = -2.3125

Simplifying
x = -2.3125

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