3(2x-9)-4=3(x-4)+1

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Solution for 3(2x-9)-4=3(x-4)+1 equation:


Simplifying
3(2x + -9) + -4 = 3(x + -4) + 1

Reorder the terms:
3(-9 + 2x) + -4 = 3(x + -4) + 1
(-9 * 3 + 2x * 3) + -4 = 3(x + -4) + 1
(-27 + 6x) + -4 = 3(x + -4) + 1

Reorder the terms:
-27 + -4 + 6x = 3(x + -4) + 1

Combine like terms: -27 + -4 = -31
-31 + 6x = 3(x + -4) + 1

Reorder the terms:
-31 + 6x = 3(-4 + x) + 1
-31 + 6x = (-4 * 3 + x * 3) + 1
-31 + 6x = (-12 + 3x) + 1

Reorder the terms:
-31 + 6x = -12 + 1 + 3x

Combine like terms: -12 + 1 = -11
-31 + 6x = -11 + 3x

Solving
-31 + 6x = -11 + 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.
-31 + 6x + -3x = -11 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-31 + 3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 3x = -11 + 0
-31 + 3x = -11

Add '31' to each side of the equation.
-31 + 31 + 3x = -11 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = -11 + 31
3x = -11 + 31

Combine like terms: -11 + 31 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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