16-3(x+2)=5x-9(x-1)

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Solution for 16-3(x+2)=5x-9(x-1) equation: 


Simplifying
16 + -3(x + 2) = 5x + -9(x + -1)

Reorder the terms:
16 + -3(2 + x) = 5x + -9(x + -1)
16 + (2 * -3 + x * -3) = 5x + -9(x + -1)
16 + (-6 + -3x) = 5x + -9(x + -1)

Combine like terms: 16 + -6 = 10
10 + -3x = 5x + -9(x + -1)

Reorder the terms:
10 + -3x = 5x + -9(-1 + x)
10 + -3x = 5x + (-1 * -9 + x * -9)
10 + -3x = 5x + (9 + -9x)

Reorder the terms:
10 + -3x = 9 + 5x + -9x

Combine like terms: 5x + -9x = -4x
10 + -3x = 9 + -4x

Solving
10 + -3x = 9 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + -3x + 4x = 9 + -4x + 4x

Combine like terms: -3x + 4x = 1x
10 + 1x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 1x = 9 + 0
10 + 1x = 9

Add '-10' to each side of the equation.
10 + -10 + 1x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 9 + -10
1x = 9 + -10

Combine like terms: 9 + -10 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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