4x-(x-16)=2x-1

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Solution for 4x-(x-16)=2x-1 equation: 


Simplifying
4x + -1(x + -16) = 2x + -1

Reorder the terms:
4x + -1(-16 + x) = 2x + -1
4x + (-16 * -1 + x * -1) = 2x + -1
4x + (16 + -1x) = 2x + -1

Reorder the terms:
16 + 4x + -1x = 2x + -1

Combine like terms: 4x + -1x = 3x
16 + 3x = 2x + -1

Reorder the terms:
16 + 3x = -1 + 2x

Solving
16 + 3x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + 3x + -2x = -1 + 2x + -2x

Combine like terms: 3x + -2x = 1x
16 + 1x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 1x = -1 + 0
16 + 1x = -1

Add '-16' to each side of the equation.
16 + -16 + 1x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + 1x = -1 + -16
1x = -1 + -16

Combine like terms: -1 + -16 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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