4(x-4)-1=3(x-9)

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Solution for 4(x-4)-1=3(x-9) equation: 


Simplifying
4(x + -4) + -1 = 3(x + -9)

Reorder the terms:
4(-4 + x) + -1 = 3(x + -9)
(-4 * 4 + x * 4) + -1 = 3(x + -9)
(-16 + 4x) + -1 = 3(x + -9)

Reorder the terms:
-16 + -1 + 4x = 3(x + -9)

Combine like terms: -16 + -1 = -17
-17 + 4x = 3(x + -9)

Reorder the terms:
-17 + 4x = 3(-9 + x)
-17 + 4x = (-9 * 3 + x * 3)
-17 + 4x = (-27 + 3x)

Solving
-17 + 4x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-17 + 4x + -3x = -27 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-17 + 1x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-17 + 1x = -27 + 0
-17 + 1x = -27

Add '17' to each side of the equation.
-17 + 17 + 1x = -27 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -27 + 17
1x = -27 + 17

Combine like terms: -27 + 17 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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