3(x-9)=4x-3(x-1)+30

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Solution for 3(x-9)=4x-3(x-1)+30 equation: 


Simplifying
3(x + -9) = 4x + -3(x + -1) + 30

Reorder the terms:
3(-9 + x) = 4x + -3(x + -1) + 30
(-9 * 3 + x * 3) = 4x + -3(x + -1) + 30
(-27 + 3x) = 4x + -3(x + -1) + 30

Reorder the terms:
-27 + 3x = 4x + -3(-1 + x) + 30
-27 + 3x = 4x + (-1 * -3 + x * -3) + 30
-27 + 3x = 4x + (3 + -3x) + 30

Reorder the terms:
-27 + 3x = 3 + 30 + 4x + -3x

Combine like terms: 3 + 30 = 33
-27 + 3x = 33 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-27 + 3x = 33 + 1x

Solving
-27 + 3x = 33 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-27 + 3x + -1x = 33 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-27 + 2x = 33 + 1x + -1x

Combine like terms: 1x + -1x = 0
-27 + 2x = 33 + 0
-27 + 2x = 33

Add '27' to each side of the equation.
-27 + 27 + 2x = 33 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = 33 + 27
2x = 33 + 27

Combine like terms: 33 + 27 = 60
2x = 60

Divide each side by '2'.
x = 30

Simplifying
x = 30

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