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

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


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

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

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

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

Combine like terms: -5 + 48 = 43
43 + 5x + 32x = 5(2x + -3) + -3(x + 5)

Combine like terms: 5x + 32x = 37x
43 + 37x = 5(2x + -3) + -3(x + 5)

Reorder the terms:
43 + 37x = 5(-3 + 2x) + -3(x + 5)
43 + 37x = (-3 * 5 + 2x * 5) + -3(x + 5)
43 + 37x = (-15 + 10x) + -3(x + 5)

Reorder the terms:
43 + 37x = -15 + 10x + -3(5 + x)
43 + 37x = -15 + 10x + (5 * -3 + x * -3)
43 + 37x = -15 + 10x + (-15 + -3x)

Reorder the terms:
43 + 37x = -15 + -15 + 10x + -3x

Combine like terms: -15 + -15 = -30
43 + 37x = -30 + 10x + -3x

Combine like terms: 10x + -3x = 7x
43 + 37x = -30 + 7x

Solving
43 + 37x = -30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
43 + 37x + -7x = -30 + 7x + -7x

Combine like terms: 37x + -7x = 30x
43 + 30x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
43 + 30x = -30 + 0
43 + 30x = -30

Add '-43' to each side of the equation.
43 + -43 + 30x = -30 + -43

Combine like terms: 43 + -43 = 0
0 + 30x = -30 + -43
30x = -30 + -43

Combine like terms: -30 + -43 = -73
30x = -73

Divide each side by '30'.
x = -2.433333333

Simplifying
x = -2.433333333

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