X-4(x-9)=3x-16

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Solution for X-4(x-9)=3x-16 equation:


Simplifying
X + -4(x + -9) = 3x + -16

Reorder the terms:
X + -4(-9 + x) = 3x + -16
X + (-9 * -4 + x * -4) = 3x + -16
X + (36 + -4x) = 3x + -16

Reorder the terms:
36 + X + -4x = 3x + -16

Reorder the terms:
36 + X + -4x = -16 + 3x

Solving
36 + X + -4x = -16 + 3x

Solving for variable 'X'.

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

Add '-36' to each side of the equation.
36 + X + -36 + -4x = -16 + -36 + 3x

Reorder the terms:
36 + -36 + X + -4x = -16 + -36 + 3x

Combine like terms: 36 + -36 = 0
0 + X + -4x = -16 + -36 + 3x
X + -4x = -16 + -36 + 3x

Combine like terms: -16 + -36 = -52
X + -4x = -52 + 3x

Add '4x' to each side of the equation.
X + -4x + 4x = -52 + 3x + 4x

Combine like terms: -4x + 4x = 0
X + 0 = -52 + 3x + 4x
X = -52 + 3x + 4x

Combine like terms: 3x + 4x = 7x
X = -52 + 7x

Simplifying
X = -52 + 7x

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