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

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


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

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

Multiply 3 * -3
-9 + 3x = 4(x + -9)

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

Solving
-9 + 3x = -36 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 3x + -4x = -36 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-9 + -1x = -36 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = -36 + 0
-9 + -1x = -36

Add '9' to each side of the equation.
-9 + 9 + -1x = -36 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -36 + 9
-1x = -36 + 9

Combine like terms: -36 + 9 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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