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

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


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

Reorder the terms:
4(-3 + x) = 3(x + 9)
(-3 * 4 + x * 4) = 3(x + 9)
(-12 + 4x) = 3(x + 9)

Reorder the terms:
-12 + 4x = 3(9 + x)
-12 + 4x = (9 * 3 + x * 3)
-12 + 4x = (27 + 3x)

Solving
-12 + 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.
-12 + 4x + -3x = 27 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-12 + 1x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 1x = 27 + 0
-12 + 1x = 27

Add '12' to each side of the equation.
-12 + 12 + 1x = 27 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 27 + 12
1x = 27 + 12

Combine like terms: 27 + 12 = 39
1x = 39

Divide each side by '1'.
x = 39

Simplifying
x = 39

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