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

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


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

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

Solving
-3 + 3x = 12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-3 + 3x + -12x = 12 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-3 + -9x = 12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + -9x = 12 + 0
-3 + -9x = 12

Add '3' to each side of the equation.
-3 + 3 + -9x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = 12 + 3
-9x = 12 + 3

Combine like terms: 12 + 3 = 15
-9x = 15

Divide each side by '-9'.
x = -1.666666667

Simplifying
x = -1.666666667

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